Answer:
a. 100:11
Explanation:
M+1 peak is observed due to the presence of an isotope of an atom in a molecule. Decane has the molecular formula C₁₀H₂₂, so the probability of having 13C atom in this molecule increases ten times. This gives the ratio between M+ and M+1 peak 100:11.
It should be noted that the decane molecule also contains hydrogen atoms whose isotope deuterium (2H) can also be present in the molecule and give M+1 peak. But its relative abundance to protium (1H) is low i.e., 0.015, so its effect can be neglected.
A simple formula for the estimation of the relative peak height of M+1 in a molecule that contains C, H, N, O, F, Si, P, and S is:
[tex][M+1] = (number of C X 1.1) + (number of H X 0.015) + (number of N X 0.37) + (number of O X 0.04) + (number of S X 0.8) + (number of Si X 5.1)[/tex]
PS: remove the element from the formula which is not present in the molecule
102.1 g of Aluminum nitrite and 174.3 g of ammonium chloride react to form aluminum chloride, nitrogen, and water.
How many grams of the excess reagent remains after the reaction?
Answer:
57.39 g excess Aluminum nitrite
Explanation:
When performing stoichiometric calculations, the first thing we need is the balanced chemical reaction.
In this case we will have:
Al(NO₂)₃ + 3 NH₄Cl ⇒ AlCl₃ + 3 N₂ + 6 H₂O
( nitrite ion is NO₂⁻ )
Now that we have the balanced reaction, we need to calculate the number of moles, n, of Al(NO₂)₃ and NH₄Cl , and perform the calculations necessary to determine the excess reagent and its amount.
The number of moles is :
n = mass / MW where MW is the molecular weight and m the mass.
MW Al(NO₂)₃ = 40.99 g/mol
MW NH₄Cl = 53.49 g/mol
n Al(NO₂)₃ = 102.1 g / 40.99 g/mol = 2.49 mol Al(NO₂)₃
n NH₄Cl = 174.3 g / 53.49 g/mol = 3.26 mol NH₄Cl
Now lets calculate how many moles of NH₄Cl will react with 2.49 mol Al(NO₂)₃ :
( 3 mol NH₄Cl / 1 mol Al(NO₂)₃ ) x 2.49 mol Al(NO₂)₃ = 7.5 mol NH₄Cl
We only have 3.26 mol NH₄Cl . Therefore our limiting reagent is NH₄Cl , and the excess reagent is Al(NO₂)₃
Now lets calculate the number of moles Al(NO₂)₃ used to react with 3.26 mol NH₄Cl :
( 1 mol Al(NO₂)₃ / 3 mol NH₄Cl ) x 3.26 mol NH₄Cl =1.09 mol Al(NO₂)₃
The excess number of moles is:
= 2.49 mol - 1.09 mol = 1.40 mol Al(NO₂)₃
grams of Al(NO₂)₃ in excess
1.40 mol Al(NO₂)₃ x 40.99 g/mol = 57.39 g
Each Excedrin tablet contains 250 mg aspirin (ACE), 250 mg of acetaminophen (ACE), and 65 mg of caffeine (CAF). Calculate the theoretical percent (%) recovery of each component using the mass of one tablet (675 mg). (a) ASP (b) ACE (c) CAF (250 mg / xx mg tablet) x 100% a)ASP: 37.04%b)ACE: 37.04%c)CAF: 9.63%
Answer:
a) 37.04% b) 37.04% c) 9.63%
Explanation:
The theoretical percent recovery (Tr), is the total percentage of each compound in the sample. Depending on the technique used to recovery the compounds, the percent recovery will be less than the theoretical, because no technique is 100% efficient.
So, to calculate the theoretical, it will be the mass of the compound divided by the mass of the sample multiplied by 100%.
a) Tr = (250 mg)/(675 mg) * 100%
Tr = 37.04%
b) Tr = (250 mg)/(675 mg) * 100%
Tr = 37.04%
c) Tr = (65 mg)/(675 mg) * 100%
Tr = 9.63%
In each of the Excedrin table which consist of 250 mg of aspirin about 250 mg of acetaminophen and about 65mg of caffeine. The percentage of the theoretical components
will be 37.04% for the ASP and 37.04% for the ACE and about 9.63% for the CAF of 250 gm / xx mg tablets.Learn more about the 250 mg aspirin (ACE), 250 mg of.
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Which one of the following statements is notapplicable to molecularsolids?
a. The units that occupy the lattice points are molecules.
b. The binding forces in molecular solids are dispersion forces or dispersion forces and dipole-dipole interactions.
c. Molecular solids have relatively low melting points.
d. Molecular solids are usually excellent conductors of electric current. e. Molecular solids are soft compared to covalent solids.
Answer: The answer is D. Molecular solids are usually excellent conductors of electric current
Explanation: Molecular solids are solids that have separate individual molecules held together by intermolecular forces (Van der Waal's force) rather than bonds.
Van der Waal's forces are the weak forces that contribute to intermolecular bonding between molecules.
Examples of a molecular solid are water ice, solid carbon dioxide and white phosphorus.
Molecular solids cannot conduct electricity because they have localized electrons (election localized within the bonds in each molecule).
Final answer:
The statement that is not applicable to molecular solids is 'd. Molecular solids are usually excellent conductors of electric current' because molecular solids are poor conductors due to the lack of ions or free electrons.
Explanation:
To answer which statement is not applicable to molecular solids, let us examine each option given:
a. The units that occupy the lattice points are molecules - This is true for molecular solids.
b. The binding forces in molecular solids are dispersion forces or dispersion forces and dipole-dipole interactions - This is also true. Dispersion forces are present in nonpolar molecular solids, while polar molecular solids exhibit dipole-dipole interactions and sometimes hydrogen bonds as well.
c. Molecular solids have relatively low melting points - This statement is correct since the intermolecular forces in molecular solids are weaker than ionic or covalent bonds, resulting in lower melting points.
d. Molecular solids are usually excellent conductors of electric current - This statement is not true. Molecular solids lack ions or free electrons, which makes them poor conductors of electricity.
e. Molecular solids are soft compared to covalent solids - This is generally true because the intermolecular bonds in molecular solids are weaker than the covalent bonds in covalent solids.
Therefore, the statement that is not applicable to molecular solids is d. Molecular solids are usually excellent conductors of electric current.
Which of the following gases is expected to be most soluble in water? Explain your reasoning. (a) CH4 (b) CCl4 (c) CHCl3
Answer: (c) CHCl3
Explanation:
From the rule : a polar solvent will dissolve a polar compound and a non polar solvent will also dissolves a non polar compound.
(a) CH4 is non- polar and water is a polar solvent. Therefore CH4 is not soluble in water
(b) CCl4 is non polar and water is a polar solvent. Therefore CCl4 is not soluble in wtaer
(c) CHCl3 is polar molecule and water is also a polar solvent.
Therefore CHCl3 is expected to be most soluble in water
Among CH4, CCl4, and CHCl3, CHCl3 (chloroform) is expected to be the most soluble in water due to its somewhat polar nature which corresponds with the polarity of water.
Explanation:The gas expected to be most soluble in water among CH4, CCl4, and CHCl3 is CHCl3. This is based on the principle of 'like dissolves like'. In terms of polarity, water is polar and CHCl3 (chloroform) is also somewhat polar due to the presence of chlorine atoms, which have higher electronegativity. Since polar molecules are more likely to dissolve in another polar substance, CHCl3 would be the most soluble of the given gases in water.
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Calculate the heat of reaction, ΔH°rxn, for overall reaction for the production of methane, CH4.
The heat of reaction, ΔH°rxn, for the production of methane, CH4, can be calculated using the enthalpy change of the reaction and the stoichiometric coefficients of the reactants and products.
Explanation:The heat of reaction, ΔH°rxn, for the production of methane, CH4, can be calculated using the enthalpy change of the reaction and the stoichiometric coefficients of the reactants and products. In this case, the reaction is:
C(s) + O₂(g) → CO₂(g) ΔH° = -393.5 kJ
To calculate the heat of reaction, we can multiply the enthalpy change by the stoichiometric coefficient of methane in the balanced equation:
ΔH°rxn = -393.5 kJ/mol × 1 mol = -393.5 kJ
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The heat of reaction for the production of methane (CH₄) from CO₂ and H₂O is calculated to be -890.4 kJ. Using Hess's Law and the standard enthalpies of formation, the standard enthalpy of formation for CH4 is found to be -74.7 kJ/mol.
To calculate the heat of reaction for the production of methane (CH4), we will use the given thermochemical equation:
CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l) ΔΗ = -890.4 kJStep-by-Step Calculation:
The equation states that 1 mole of CH₄ reacts with 2 moles of O₂ to produce 1 mole of CO₂ and 2 moles of H₂O, releasing 890.4 kJ of energy. This reaction is exothermic, so ΔΗ is negative.
The standard enthalpy of formation [tex](\Delta H^\circ _f)[/tex] of a compound is the change in enthalpy when one mole of a substance is formed from its elements in their standard states.
We know the standard enthalpies of formation at 298 K for CO₂(g) and H₂O(l), which are:
[tex]\Delta H_f^\circ(\text{CO}_2(\text{g})) = -393.5 \, \text{kJ/mol}[/tex]
[tex]\Delta H_f^\circ(\text{H}_2\text{O}(\text{l})) = -285.8 \, \text{kJ/mol}[/tex]
Using Hess's Law: [tex]\Delta H^\circ_{\text{rxn}} = \left[ \sum \Delta H_f^\circ (\text{products}) \right] - \left[ \sum \Delta H_f^\circ (\text{reactants}) \right][/tex]
Insert values into the equation:
[tex]\Delta H^\circ_{\text{rxn}} = \left[ (-393.5 \, \text{kJ/mol}) + 2(-285.8 \, \text{kJ/mol}) \right] - \left[ \Delta H_f^\circ(\text{CH}_4(\text{g})) + 2(0 \, \text{kJ/mol for O}_2) \right][/tex]
[tex]\Delta H^\circ_{\text{rxn}} = [-393.5 - 571.6] - [\Delta H_f^\circ(\text{CH}_4(\text{g})) + 0][/tex]
[tex]\Delta H^\circ_{\text{rxn}} = -965.1 \, \text{kJ} - \Delta H_f^\circ(\text{CH}_4(\text{g}))[/tex]
Given [tex]\Delta H^\circ_{\text{rxn}}[/tex] = -890.4 kJ, solve for [tex]\Delta H_f^\circ(\text{CH}_4(\text{g})): -965.1 \, \text{kJ} - \Delta H_f^\circ(\text{CH}_4(\text{g})) = -890.4 \, \text{kJ}[/tex]
ΔHf°(CH₄(g)) = -965.1 kJ + 890.4 kJ
ΔHf°CH₄(g)) = -74.7 kJ/mol
Therefore, the standard enthalpy of formation for methane, CH₄, is -74.7 kJ/mol.
In a photoelectric effect experiment, electrons are ejected from a titanium surface (work function, 3 eV) following irradiation with UV light. The energy of the incident UV light is 7.2 x 10-19 J.
(a) Calculate the wavelength of the ejected electrons.
(b) Calculate the wavelength of the incident UV light.
(c) would an iron surface (Ф-4.7 eV require a longer or shorter wavelength of light to eject electrons with the same wavelength calculated in part (a)? Briefly explain.
Explanation:
According to the Einstein law, it is known that
[tex]h \times \nu = \phi + \frac{1}{2} mv^{2}[/tex]
where, h = energy of light
[tex]\phi[/tex] = work function
[tex]m v^{2}[/tex] = kinetic energy of electron
It is given that the value of [tex]h \nu[/tex] is [tex]7.2 \times 10^{-19} J[/tex]. And,
1 eV = [tex]1.6 \times 10^{-19} J[/tex]
Here, [tex]\phi[/tex] for titanium is 4.33 eV
= [tex](4.33 \times 1.6 \times 10^{-19})[/tex] J
= [tex]6.928 \times 10^{-19}[/tex] J
(a) First of all, kinetic energy will be calculated as follows.
[tex]\frac{1}{2}mv^{2} = h \nu - \phi[/tex]
= [tex](7.2 \times 10^{-19} - 6.92 \times 10^{-19})[/tex] J
= [tex]0.272 \times 10^{-19}[/tex] J
It is known that mass of electrons is equal to [tex]9.109 \times 10^{-31} kg[/tex].
Therefore, [tex]mv^{2} = 0.544 \times 10^{-19} J[/tex]
and, [tex](mv)^{2} = 9.109 \times 0.544 \times 10^{-19} \times 10^{-31}[/tex]
= [tex]4.955 \times 10^{-50}[/tex]
mv = [tex]2.225 \times 10^{-25}[/tex]
Now, the relation between wavelength and mv is as follows.
[tex]\lambda = \frac{6.626 \times 10^{-34}}{2.225 \times 10^{-25}}[/tex]
= [tex]2.98 \times 10^{-9} m[/tex]
Therefore, the wavelength of the ejected electrons is [tex]2.98 \times 10^{-9} m[/tex].
(b) It is known that relation between energy and wavelength is as follows.
E = [tex]h \nu = \frac{hc}{\lambda}[/tex]
[tex]\lambda = \frac{6.626 \times 10^{-34} \times 3 \times 10^{8}}{7.2 \times 10^{-19}}[/tex]
= [tex]\frac{6.626 \times 3 \times 10^{-26}}{7.2 \times 10^{-19}}[/tex]
= [tex]2.76 \times 10^{-7} m[/tex]
Hence, the wavelength of the ejected electrons is [tex]2.76 \times 10^{-7} m[/tex].
(c) For iron surface, [tex]\phi = 4.7 eV[/tex]
= [tex](4.7 \times 1.6 \times 10^{-19})[/tex] J
= [tex]7.52 \times 10^{-19}[/tex] J
Here, the value of [tex]\phi[/tex] is more than the value of UV light source. Hence, we need a shorter wavelength light as we know that,
[tex]E \propto \frac{1}{\lambda}[/tex]
Therefore, lesser will be the wavelength higher will be the energy.
Final answer:
In a photoelectric effect experiment, the wavelength of the ejected electrons can be calculated using the equation E = h / λ, where E is the energy of the electron, h is Planck's constant, and λ is the wavelength. The wavelength of the ejected electrons is found to be 13.8 femtometers. The wavelength of the incident UV light can be calculated using the same equation and is found to be 9.2 picometers. For an iron surface with a higher work function, a longer wavelength of light would be required to eject electrons with the same wavelength.
Explanation:
(a) To calculate the wavelength of the ejected electrons, we can use the equation E = h / λ, where E is the energy of the electron, h is Planck's constant (6.626 x 10^-34 J*s), and λ is the wavelength.
We can rearrange the equation to solve for λ: λ = h / E.
When we substitute the energy of the ejected electrons as given (3 eV = 4.8 x 10^-19 J), we get λ = (6.626 x 10^-34 J*s) / (4.8 x 10^-19 J) = 13.8 x 10^-15 m, or 13.8 femtometers.
(b) To calculate the wavelength of the incident UV light, we can use the same equation E = h / λ, but this time substitute the energy of the incident light (7.2 x 10^-19 J) and solve for λ. We get λ = (6.626 x 10^-34 J*s) / (7.2 x 10^-19 J) = 9.2 x 10^-16 m, or 9.2 picometers.
(c) The work function of an iron surface is provided (4.7 eV). Since the work function represents the minimum energy required to eject an electron, a longer wavelength of light would be required to eject electrons with the same calculated wavelength in part (a). This is because longer wavelength light corresponds to lower energy photons.
When a hydrogen atom covalently bonds to another atom, how many electrons associated with this hydrogen atom become involved in such a bond?
Explanation:
A covalent bond is defined as the occurrence of a bond due to the sharing of electrons between the combining atoms.
Atomic number of hydrogen atom is 1 and its electronic configuration is [tex]1s^{2}[/tex]. So, in order to complete its octet it needs to gain or mutually shares one electron.
A covalent bond is generally formed between non-metal atoms.
Thus, we can conclude that hydrogen has only one electron that will be involved in the formation of a covalent bond.
In a covalent bond, a hydrogen atom contributes its single electron, which pairs with the electron from the other atom, forming a single covalent bond.
Explanation:When a hydrogen atom forms a covalent bond with another atom, it shares its single electron, resulting in a paired bonding configuration. As hydrogen has one electron in its valence shell, this one electron becomes involved in bonding. When two hydrogen atoms bond, each contributes their one electron to form a molecular orbital, resulting in a single covalent bond. This is represented in the formation of a hydrogen molecule (H₂), where the bond order is calculated as (2-0)/2=1, signifying one stable covalent bond. The electron configuration for each hydrogen atom in the molecule then resembles that of helium, with two electrons completing the 1s subshell.
The synthesis of dipropyl ether can be accomplished using 1-propanol. What reactants and conditions are necessary for this to occur
Answer: Reactants==>2 molecules of propanol.
Condition for Reaction to occur==> Strong acid,e.g HCl and high temperature (140°C).
Explanation:
Dipropyl ether can be sythesized commonly in two ways;
(1). Williamson ether synthesis of dipropyl ether: this chemical reaction involves the reaction of alkyl halide(propyl halide) with conjugate base of propanol.
(2). Acid catalyzed ether synthesis of dipropyl ether: this is the reaction this question is talking about. A strong acid is used in the Chemical Reaction, and , it is reaction between two(2) molecules of propanol. This is done in the presence of strong acid such as HCl and high temperature (up to 140°C).
The Reactants are the two molecules of propanol. The condition necessary for the reaction to occur is that the temperature must be high(140-143°C) and it must be in the presence of a strong acid.
In a dehydration reaction, 2 molecules lose one water molecule to combine. In presence of strong acid ([tex]\bold{H_2SO4}[/tex]) and high temperature at [tex]\bold{145^oC}[/tex] propanol can be accomplished to synthesize dipropyl ether.
Dehydration of Alcohol:
In high acidic and high-temperature conditions, alcohol dehydrates to form ether.
[tex]\bold{2R-OH \rightarrow R-O-R +H_2O}[/tex]
2 molecules of propanol will combine to form dipropyl ether in the presence of strong acid ([tex]\bold{H_2SO4}[/tex]) at [tex]\bold{145^oC}[/tex].
[tex]\bold{2CH_3 CH_2CH_2OH \rightarrow CH_3 CH_2CH_2-O-CH_2CH_2CH_3 + H_2O }[/tex]
Therefore, In presence of strong acid ([tex]\bold{H_2SO4}[/tex]) and high temperature at [tex]\bold{145^oC}[/tex]
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Whenever a substance is oxidized,
1. it gains electrons.
2. some other substance must be reduced.
3. it is called the oxidizing agent.
4. hydronium ions are produced.
Answer: some other substance must be reduced.
Explanation:
Oxidation-reduction reaction or redox reaction is defined as the reaction in which oxidation and reduction reactions occur simultaneously.
Oxidation reaction is defined as the reaction in which a substance looses its electrons. The oxidation state of the substance increases.
[tex]M\rightarrow M^{n+}+ne^-[/tex]
The substance which gets oxidized itself reduces others and thus is called as reducing agent.
Reduction reaction is defined as the reaction in which a substance gains electrons. The oxidation state of the substance gets reduced.
[tex]M^{n+}+ne^-\rightarrow M[/tex]
The substance which gets itself reduced , oxidise others and thus is called as oxidising agent.
Oxidation is the loss of electrons and is usually coupled with the reduction of another substance, known as the oxidizing agent. The production of hydronium ions is not a core characteristic of all oxidation processes.
Explanation:Whenever a substance is oxidized, it means that it has lost electrons. This process is usually coupled with the reduction of another substance, which gains the electrons. Thus, statement 1 is incorrect, and statement 2 is correct: when a substance is oxidized, another substance must be reduced.
Statement 3 is also correct: a substance that is oxidized and causes the reduction of another substance is called the oxidizing agent. Statement 4 is incorrect: the production of hydronium ions is not a general characteristic of oxidation reactions, it’s specific to certain reactions that involve acids.
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In an ionic compound, the size of the ions affects the internuclear distance (the distance between the centers of adjacent ions), which affects lattice energy (a measure of the attractive force holding those ions together).
1. Based on ion sizes, arrange these compounds by their expected lattice energy. Note that many sources define lattice energies as negative values. Please arrange by magnitude and ignore the sign. Great Lateral Energy to least (weakest) lattice energy.
O Nal
O NaCl
O NaBr
O NaF
When your body metabolizes sugar (glucose), 2.8 MJ of heat is produced for every mole of sugar that is burned. How much heat will be released when 0.25 moles of glucose in a can of soda is metabolized? Express your answer in kilojoules (kJ) using the correct number of significant figures.
Answer: [tex]7.0\times 10^2kJ[/tex] will be released when 0.25 moles of glucose in a can of soda is metabolized
Explanation:
Heat of combustion is the amount of heat released on complete combustion of 1 mole of substance.
Given :
Amount of heat released on combustion 1 mole of glucose = 2.8 MJ = [tex]2.8\times 10^3kJ[/tex] [tex]1MJ=10^3kJ[/tex]
Thus we can say:
1 mole of glucose on combustion releases = [tex]2.8\times 10^6J[/tex]
Thus 0.25 moles of glucose on combustion releases =[tex]\frac{2.8\times 10^3kJ}{1}\times 0.25=7.0\times 10^2kJ[/tex]
Thus [tex]7.0\times 10^2kJ[/tex] will be released when 0.25 moles of glucose in a can of soda is metabolized
13.3 g of benzene (C6H6) is dissolved in 282 g of carbon tetrachloride. What is the molal concentration of benzene in this solution?
Answer:
0.605 molal
Explanation:
molality is the amount of solute in a particular mass of solvent.
lets calculate the amount of benzene solute.
mass of benzene= 13.3g
molar mass of C6H6= 12*6 +1*6 =72+7=78g/mol
amount of benzene= mass/molar mass
=13.3/78
=0.1705mol
molality= amount of solute/mass of solvent in kg
mass of solvent=282g=0.282kg
molality = 0.1705/0.282
=0.605 molal
To calculate the molal concentration of benzene in the solution, divide the number of moles of benzene (0.1703 moles) by the mass of carbon tetrachloride in kilograms (0.282 kg), resulting in a concentration of 0.604 molal.
To calculate the molal concentration of benzene in the solution, first, we need to determine the number of moles of benzene. The molar mass of benzene (C6H6) is approximately 78.11 g/mol. Using the mass of benzene given (13.3 g), we can calculate the moles of benzene as follows:
Number of moles of benzene = mass of benzene / molar mass of benzene
Number of moles of benzene = 13.3 g / 78.11 g/mol = 0.1703 moles
The molal concentration is then calculated by the number of moles of solute per kilogram of solvent. Since the mass of the solvent (carbon tetrachloride) is given in grams, we convert it to kilograms:
Mass of solvent in kg = 282 g / 1000 = 0.282 kg
Now, the molal concentration (m) can be calculated as:
Molal concentration (m) = moles of solute / mass of solvent in kg
Molal concentration (m) = 0.1703 moles / 0.282 kg = 0.604 Molal
You have identified your product to be butylnapthyl ether and recrystallize it. The initial mass of the the crude ether was 141 mg. The mass after recrystallization was 121 mg. Calculate the percent recovery from recrystallization.
Answer:
85.82%
Explanation:
Mass before recovery = 141 mg
Mass after recrystallization = 121 mg
Percent recovery of recrystallization = actual mass / mass of crude extract * 100 = 121 / 141 * 100 = 85.82%
The molecular shape of the SiH2Cl2 molecule is approximately __________ and its dipole moment is ______ .
A. Tetrahedral, zero
B. Tetrahedral, greater than zero
C. trigonal planar, zero
D. trigonal planar, greater than zero
Answer:
A
Explanation:
The molecule would not have a net dipole moment because the dipole moments cancel out. Being a vector quantity, dipole moment is affected by the direction of the dipole. If the dipoles are such that they are oriented opposite each other, theory simply cancel out. Polarity of individual bonds in a molecule does not automatically imply that the molecule must poses a net dipolev moment. The polarity of the Si-H and Si-Cl bonds cancel out cause they are oriented opposite each other hence the molecule is non polar.
The molecular shape of the SiH2Cl2 molecule is approximately tetrahedral and its dipole moment is zero.
MOLECULAR SHAPE:Molecular shape of a molecule refers to the three-dimensional arrangement of the atoms that make up that molecule. In SiH2Cl2 molecule, silicon is a central atom that bonds to 2 atoms of hydrogen and chlorine atoms respectively. Hence, making it a tetrahedral molecule. The polarity of the Si-H and Si-Cl bonds cancel out in the SiH2Cl2 molecule because they are opposite charges, hence the molecule is non polar and have no dipole moment.Learn more about molecular geometry at: https://brainly.com/question/7558603?referrer=searchResultsional
Given: A(g) + B(g) ⇋ C(g) + D(g)
At equilibrium a 2.00 liter container was found to contain 1.60 moles of C, 1.60 moles of D, 0.50 moles of A and 0.50 moles of B. Calculate Kc. enter a number to 2 decimal places
If 0.10 mole of B and 0.10 mole of C are added to this system, what is the value of Q? enter a number to 2 decimal places
What will the new equilibrium concentration of A be? enter a number to 3 decimal places
Answer:
For 1: The value of [tex]K_c[/tex] is 10.24
For 2: The value of [tex]Q_c[/tex] is 9.07
For 3: The new equilibrium concentration of A is 0.220 M
Explanation:
We are given:
Volume of the container = 2.00 L
Equilibrium moles of A = 0.50 moles
Equilibrium moles of B = 0.50 moles
Equilibrium moles of C = 1.60 moles
Equilibrium moles of D = 1.60 moles
We know that:
[tex]\text{Molarity}=\frac{\text{Moles of solute}}{\text{Volume of solution}}[/tex]
For the given chemical reaction:
[tex]A(g)+B(g)\rightleftharpoons C(g)+D(g)[/tex]
For 1:The expression of [tex]K_c[/tex] for above equation follows:
[tex]K_c=\frac{[C][D]}{[A][B]}[/tex]
We are given:
[tex][A]_{eq}=\frac{0.50}{2.00}=0.25[/tex]
[tex][B]_{eq}=\frac{0.50}{2.00}=0.25[/tex]
[tex][C]_{eq}=\frac{1.60}{2.00}=0.8[/tex]
[tex][D]_{eq}=\frac{1.60}{2.00}=0.8[/tex]
Putting values in above equation, we get:
[tex]K_c=\frac{0.8\times 0.8}{0.25\times 0.25}\\\\K_c=10.24[/tex]
Hence, the value of [tex]K_c[/tex] is 10.24
For 2:Added moles of B = 0.10 moles
Added moles of C = 0.10 moles
[tex]Q_c[/tex] is the quotient of activities of products and reactants at any stage other than equilibrium of a reaction.
[tex]Q_c=\frac{[C][D]}{[A][B]}[/tex]
Now,
[tex][A]=\frac{0.50}{2.00}=0.25[/tex]
[tex][B]=\frac{0.60}{2.00}=0.3[/tex]
[tex][C]=\frac{1.70}{2.00}=0.85[/tex]
[tex][D]=\frac{1.60}{2.00}=0.8[/tex]
Putting values in above equation, we get:
[tex]Q_c=\frac{0.85\times 0.8}{0.25\times 0.3}\\\\Q_c=9.07[/tex]
Hence, the value of [tex]Q_c[/tex] is 9.07
For 3:Taking equilibrium constant as 10.24 for calculating the equilibrium concentration of A.
[tex]K_c=10.24[/tex]
[tex][B]_{eq}=\frac{0.60}{2.00}=0.3[/tex]
[tex][C]_{eq}=\frac{1.70}{2.00}=0.85[/tex]
[tex][D]_{eq}=\frac{1.60}{2.00}=0.8[/tex]
Putting values in expression 1, we get:
[tex]10.24=\frac{0.85\times 0.8}{[A]\times 0.3}[/tex]
[tex][A]_{eq}=\frac{0.85\times 0.8}{0.3\times 10.24}=0.220[/tex]
Hence, the new equilibrium concentration of A is 0.220 M
Based on your knowledge of molecular geometry, which hypothesized structure of Benzene has bond angles strained well beyond known tolerances?
It seems that the question is lacking hypothesized structures, which are provided in Figure A
Answer:
Option A has bond angles that have the highest strain beyond known tolerance
Explanation:
Note: Please find the complete question in the attachment
The hypothesized structures in the options were the proposed structures of benzene in the mid 19th century by Ladenburg (1869), Thiele (1899), Armstrong (1887), and Kekule (1865) respectively
Option A suggests sp3 hybridization of the carbon atom. sp3 hybridized atoms are oriented at 109.5° to be stable. The structure suggests that bond angles between C-C bonds are 60° and 90°, these bond angles are well beyond the known tolerable angle strain.
Options B and D (currently accepted structures of benzene) are sp2 hybridized and their bonds angle is 120°, which is the optimal angle for sp2 hybridized atom. Option C also suggests sp2 hybridized carbon, so their will also be no ring strain in it. But it is not an accepted structure as it was suggested to contain radical like properties by Armstrong.
The strain in molecular geometries such as 1-cyclohexyne arises from abnormal bond angles that deviate from ideal sp³ hybridization. Benzene, however, remains stable due to electron delocalization and a regular planar hexagonal structure maintaining equal bond lengths and angles.
Explanation:Understanding Molecular Geometry and Strain in Hypothesized Structures
The concept of strained bond angles beyond known tolerances relates to proposed molecular structures that do not conform to normal, observed geometries. For instance, the 1,3,5-cyclohexatriene structure proposed for benzene in 1866 by Kekule features alternating single and double bonds. This would predict different bond lengths of 1.48 Å for single and 1.34 Å for double bonds. However, due to aromaticity, benzene is actually a regular planar hexagon with equal C-C bond lengths of 1.39 Å and bond angles of 120°, indicating the presence of resonance and delocalized p-orbital electrons.
In contrast, a structure like 1-cyclohexyne would suffer from severe angle strain since it attempts to maintain a planar structure with sp² hybridization that imposes 120° bond angles, which deviates from the tetrahedral angle of 109.5° expected for sp³ hybridized carbons as in cyclohexane. Additionally, cyclooctatetraene, if forced into a planar structure to achieve delocalization, would also experience prohibitive angle strain, as it can not attain a structure with equivalent π bonds between adjacent carbons without distorting natural bond angles.
The concept of electron delocalization is fundamental in understanding why certain hypothesized structures impose a strain on bond angles. For benzene, the planar structure and delocalization lead to stability, while for other cyclic compounds, the need to maintain ideal hybridization geometry can lead to significant strain if forced into non-tetrahedral geometries.
To what does the term 'drying a liquid' refer?
a. Removing all traces of water to form a solid.
b. The technique of removing all traces of an organic solvent from water.
c. Removing all traces of water from an organic solvent.
d. The extraction of a solid from a polar solvent.
Answer: a. Removing all traces of water to form a solid
Explanation:
Dimethyl sulfide is the most abundant biological sulfur compound emitted to the atmosphere. It is produced by phytoplankton and emitted over the oceans. Draw the structure of dimethyl sulfide.
The structure of Dimethyl sulfide is H3C-S-CH3. It is produced naturally by some marine algae.
Explanation:
DMS or dimethyl sulfide is formed by using two methyl groups combined with one sulfur atom. It is an organosulphur compound with a structural formula H3C-S-CH3.Most abundant biological sulfur compounds emitted to air and oceans by phytoplankton. DMS is produced naturally by the waste of dimethyl sulphoxide which is disposed into the sewer causing environmental odor problems.It is a flammable liquid that boils at 37 degrees celsius and a disagreeable smell produced from the cooking of certain vegetables also indicates bacterial contamination in the production of malt and brewing.
If the caffeine concentration in a particular brand of soda is 2.85 mg/oz, drinking how many cans of soda would be lethal? Assume that 10.0 g of caffeine is a lethal dose, and there are 12 oz in a can.
Final answer:
To calculate the number of cans of soda that would be lethal, we need to determine the amount of caffeine in a lethal dose and the amount of caffeine in one can of soda. Given that the lethal dose of caffeine is 10.0 g and there are 12 oz in a can, drinking approximately 10 cans of soda would be lethal.
Explanation:
To calculate the number of cans of soda that would be lethal, we need to determine the amount of caffeine in a lethal dose and the amount of caffeine in one can of soda. Given that the lethal dose of caffeine is 10.0 g and there are 12 oz in a can, we can use the caffeine concentration of the soda (2.85 mg/oz) to calculate the amount of caffeine in one can.
First, convert the caffeine concentration to mg/mL: 2.85 mg/oz = 2.85 mg/mL. Then, multiply the concentration by the volume of one can (12 oz = 354.88 mL): 2.85 mg/mL * 354.88 mL = 1011.84 mg.
To determine the number of cans that would be lethal, divide the lethal dose by the amount of caffeine in one can: 10.0 g / 1011.84 mg = 9.87 cans (rounded to the nearest whole number). Therefore, drinking approximately 10 cans of soda would be lethal.
Ethylene (CH2CH2) is the starting point for a wide array of industrial chemical syntheses. For example, worldwide about 8.0 x 1010kg of polyethylene are made from ethylene each year, for use in everything from household plumbing to artificial joints. Natural sources of ethylene are entirely inadequate to meet world demand, so ethane (CH3CH3) from natural gas is "cracked" in refineries at high temperature in a kineticallycomplex reaction that produces ethylene gas and hydrogen gas. Suppose an engineer studying ethane cracking fills a 30.0L reaction tank with 24.0atm of ethane gas and raises the temperature to 800.°C. He believes Kp= 0.040 at this temperature. Calculate the percent by mass of ethylene the engineer expects to find in the equilibrium gas mixture. Round your answer to 2 significant digits.
Answer: The percent by mass of ethylene in the equilibrium gas mixture is 3.76 %
Explanation:
We are given:
Initial partial pressure or ethane = 24.0 atm
The chemical equation for the dehydration of ethane follows:
[tex]C_2H_6(g)\rightleftharpoons C_2H_4(g)+H_2(g)[/tex]
Initial: 24.0
At eqllm: 24-x x x
The expression of [tex]K_p[/tex] for above equation follows:
[tex]K_p=\frac{p_{C_2H_4}\times p_{H_2}}{p_{C_2H_6}}[/tex]
We are given:
[tex]K_p=0.040[/tex]
Putting values in above expression, we get:
[tex]0.040=\frac{x\times x}{24-x}\\\\x^2+0.04x-0.96=0\\\\x=0.96,-1[/tex]
Neglecting the value of x = -1 because partial pressure cannot be negative.
So, partial pressure of hydrogen gas at equilibrium = x = 0.96 atm
Partial pressure of ethylene gas at equilibrium = x = 0.96 atm
Partial pressure of ethane gas at equilibrium = (24-x) = (24 - 0.96) atm = 23.04 atm
To calculate the number of moles, we use the equation given by ideal gas, which follows:
[tex]PV=nRT[/tex] .........(1)
To calculate the mass of a substance, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ..........(2)
For ethane gas:We are given:
[tex]P=23.04atm\\V=30.0L\\T=800^oC=[800+273]K=1073K\\R=0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]
Putting values in equation 1, we get:
[tex]23.04atm\times 30.0L=n\times 0.0821\text{ L. atm }mol^{-1}K^{-1}\times 1073K\\\\n=\frac{23.04\times 30.0}{0.0821\times 1073}=7.85mol[/tex]
We know that:
Molar mass of ethane gas = 30 g/mol
Putting values in equation 2, we get:
[tex]7.85mol=\frac{\text{Mass of ethane gas}}{30g/mol}\\\\\text{Mass of ethane gas}=(7.85mol\times 30g/mol)=235.5g[/tex]
For ethylene gas:We are given:
[tex]P=0.96atm\\V=30.0L\\T=800^oC=[800+273]K=1073K\\R=0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]
Putting values in equation 1, we get:
[tex]0.96atm\times 30.0L=n\times 0.0821\text{ L. atm }mol^{-1}K^{-1}\times 1073K\\\\n=\frac{0.96\times 30.0}{0.0821\times 1073}=0.33mol[/tex]
We know that:
Molar mass of ethylene gas = 28 g/mol
Putting values in equation 2, we get:
[tex]0.33mol=\frac{\text{Mass of ethylene gas}}{28g/mol}\\\\\text{Mass of ethylene gas}=(0.33mol\times 28g/mol)=9.24g[/tex]
For hydrogen gas:We are given:
[tex]P=0.96atm\\V=30.0L\\T=800^oC=[800+273]K=1073K\\R=0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]
Putting values in equation 1, we get:
[tex]0.96atm\times 30.0L=n\times 0.0821\text{ L. atm }mol^{-1}K^{-1}\times 1073K\\\\n=\frac{0.96\times 30.0}{0.0821\times 1073}=0.33mol[/tex]
We know that:
Molar mass of hydrogen gas = 2 g/mol
Putting values in equation 2, we get:
[tex]0.33mol=\frac{\text{Mass of hydrogen gas}}{2g/mol}\\\\\text{Mass of hydrogen gas}=(0.33mol\times 2g/mol)=0.66g[/tex]
To calculate the mass percentage of ethylene in equilibrium gas mixture, we use the equation:
[tex]\text{Mass percent of ethylene gas}=\frac{\text{Mass of ethylene gas}}{\text{Mass of equilibrium gas mixture}}\times 100[/tex]
Mass of equilibrium gas mixture = [235.5 + 9.24 + 0.66] = 245.4 g
Mass of ethylene gas = 9.24 g
Putting values in above equation, we get:
[tex]\text{Mass percent of ethylene gas}=\frac{9.24g}{245.5g}\times 100=3.76\%[/tex]
Hence, the percent by mass of ethylene in the equilibrium gas mixture is 3.76 %
Rubbing alcohol contains 585 g isopropanol (C3H7OH) in 1000 mL of solution (aqueous solution). Calculate the molarity.
Answer:
The molarity of the solution is 9.73 M
Explanation:
Step 1: Data given
Mass of isopropanol = 585 grams
Molar mass of isopropanol = 60.1 g/mol
Volume = 1000 mL = 1 L
Step 2: Calculate moles of isopropanol
Moles isopropanol = mass isopropanol / molar mass isopropanol
Moles isopropanol = 585 grams / 60.1 g/mol
Moles isopropanol = 9.73 moles
Step 3: Calculate molarity of the solution
Molarity = moles / volume
Molarity = 9.73 moles / 1L
Molarity = 9.73 M
The molarity of the solution is 9.73 M
Estimate ΔH for the reaction: C2H6(g) + Cl2(g)--> C2H5Cl(g) + HCl(g) given the following average bond energies (in kJ/mol): C-C, 348 C-H, 414 CI-CI, 242 C-CI, 327 H-CI, 431 68 kJ/mol 344 kJ/mol +276 kJ/mol -102 kJ/mo 113 kJ/mol
To estimate the reaction enthalpy (ΔH) for the given reaction, the energies required to break the reactant bonds are added, and the energies released from forming product bonds are subtracted. The estimated ΔH is found to be 1902 kJ/mol, which is the energy absorbed by the reaction.
The student was asked to estimate a balanced reaction using average bond energies. To solve for the reaction enthalpy (ΔH), the energy required to break the bonds in the reactants must be calculated and then the energy released in forming the bonds of the products has to be subtracted from it.
For the given reaction:
One C-C bond is broken: 348 kJ/molFive C-H bonds are broken: 5 x 414 kJ/molOne Cl-Cl bond is broken: 242 kJ/molOne C-Cl bond is formed: -327 kJ/molOne H-Cl bond is formed: -431 kJ/molTo calculate ΔH:
ΔH = Energy required to break bonds - Energy released in forming bonds
ΔH = (348 + (5 x 414) + 242) - (327 + 431)
ΔH = (348 + 2070 + 242) - 758
ΔH = 2660 - 758
ΔH = 1902 kJ/mol
Thus, the estimated ΔH for the reaction is 1902 kJ/mol, which indicates that it would absorb this amount of energy.
Oxygen has an atomic number of 8 and an atomic mass of 16. How many valence electrons does it have?
2
4
6
8
16
Answer: 6 valence electrons
Explanation: the valence electron is the number of electron in the outermost shell of an atom.
Oxygen has an atomic number of 8. The electronic configuration will be 1s2 2s2 2p4 or 2, 6. Meaning the last shell is having 6 electrons and this is equivalent to the valence electron
Oxygen has 6 valence electrons.
Explanation:Oxygen has an atomic number of 8, which tells us that it has 8 protons in its nucleus. The atomic mass of oxygen is 16, which is the weighted average mass of all the isotopes of oxygen. Since the atomic number represents the number of protons and the number of electrons in an element, oxygen also has 8 electrons.
In the electron configuration of oxygen, the electrons are arranged in energy levels or shells. The valence electrons are the electrons in the outermost energy level, also known as the valence shell. Oxygen's electron configuration is 1s2 2s2 2p4. From this configuration, we can determine that oxygen has 6 valence electrons.
Valence electrons are responsible for the chemical behavior of an atom. In the case of oxygen, its 6 valence electrons allow it to form two covalent bonds. This enables oxygen to react with other elements to form compounds such as water and carbon dioxide.
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Butadiene c4h6 reacts with itself at 250 degrees celcius to form a dimer with the formula c8h12. The reaction is second order in c4h6. What is the rate law for the reaction?
Answer:
Rate = k * [C₄H₆]²
Explanation:
It is possible to write the reaction as:
2C₄H₆ → C₈H₁₂The differential rate law for a simple second order reaction of the type 2A → B is:
Rate = k * [A]²With the above information in mind, the rate law for the reaction of butadiene would be:
Rate = k * [C₄H₆]²A chemistry student needs of -bromobutane for an experiment. He has available of a w/w solution of -bromobutane in ethanol. Calculate the mass of solution the student should use. If there's not enough solution, press the "No solution" button. Round your answer to significant digits.
The question is incomplete, here is the complete question:
A chemistry student needs 15.00 g of 2-bromobutane for an experiment. He has available 220. g of a 30.0 % w/w solution of 2-bromobutane in ethanol. Calculate the mass of solution the student should use. If there's not enough solution, press the "No solution" button. Round your answer to 3 significant digits.
Answer: The mass of solution, the student should use is 50.0 grams
Explanation:
We are given:
30.0 % (w/w) of 2-bromobutane
This means that 30 grams of 2-bromobutane is present in 100 g of solution
Mass of solution given = 220. g
Mass of 2-bromobutane, the student needs = 15.00 g
Calculating the mass of 2-bromobutane in given amount of solution:
[tex]\Rightarrow 220\times \frac{30}{100}=66g[/tex]
To calculate the mass of solution, we use unitary method:
If 66 grams of 2-bromobutane is present in 220 grams of solution
So, 15 grams of 2-bromonutane will be present in [tex]\frac{220}{66}\times 15=50.0g[/tex] of solution
Hence, the mass of solution, the student should use is 50.0 grams
Final answer:
To calculate the mass of solution, convert the mass of -bromobutane into moles and then use the concentration of the solution to determine the amount of solution needed.
Explanation:
To calculate the mass of solution the student should use, we need to first convert the mass of -bromobutane needed into moles. Then, we can determine the amount of solution needed by using the concentration of the w/w solution of -bromobutane in ethanol. Let's go step by step:
Convert the grams of -bromobutane into liters of solution using the concentration: liters of solution = moles / concentration.
Remember to round your answer to the appropriate number of significant digits.
Within each group of four atoms or ions presented below. select the species that are isoelectronic with each other:Note: you are not comparing the two columns, only selecting which within each column are isoelectronic with each other-not across the two columns.
Zn Ge²⁺
Fe³⁺ Cl⁻
Mn²⁺ B⁻
Ar C
Answer:
Fe³⁺ and Mn⁺²
B⁻ and C
Explanation:
Isoelectronic are species that have the same number of electrons. A neutral species has the same number of protons and electrons, and the number of protons in the atomic number (Z) found in the periodic table.
A cation (positive ions) lost the numbe of electrons indicate in its charge, and an anion (negative ions) gain the number of electrons indicate in its charge. So, let's identify the number of electrons (e-) in each one the atoms:
First column:
Zn: Z = 30, e- = 30
Fe³⁺: Z = 26, e- = 26 - 3 = 23
Mn⁺²: Z = 25, e- = 25 - 2 = 23
Ar: Z = 18
Isoelectronic: Fe³⁺ and Mn⁺²
Second column:
Ge⁺²: Z = 32, e- = 32-2 = 30
Cl⁻: Z = 17, e- = 17 + 1 = 18
B⁻: Z = 5, e- = 5 + 1 = 6
C: Z = 6, e- = 6
Isoelectronic B⁻ and C
Isoelectronic species are species that contain the same number of electrons.
Each column as we can see is made up of four chemical species which may be ions or neutral atoms. The species that are isoelectronic are those that contain the same number of electrons. We shall now examine the species in each column to determine which ones are isoelectronic.
In the first column, Fe³⁺ and Mn²⁺ are isoelectronic species, they both contain 23 electrons. In the second column, B⁻ and C are isoelectronic species, they both contain six electrons.
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The host says that the polar compounds get "stuck" at the hydrophobic core as the reason why polar compounds cannot cross the membrane. Sometimes people even describe this as the hydrophobic core "repels" polar compounds. This reasoning is WRONG! 1. Polar compounds are forming bonds with the water on the outside of the membrane. These bonds are called hydrogen 2. Can polar compounds interact in this same way with the hydrophobic tails of the phospholipids? (yes or no) no 3. Do interactions form between polar compounds and the hydrophobic tails? (yes or no) no 4. In order for a polar compound to enter into the hydrophobic space of the phospholipid tails, it would need to break the many bonds it has formed with the water and enter into a space where these bonds cannot form. Therefore, it is not a repelling action but a "lack of attraction."
Answer:
1. Some polar compounds form hydrogen bridge bonds with water.
2. Polar compounds DO NOT interact in the same way with hydrophobic phospholipid tails.
3. YES: interactions are formed between polar compounds and hydrophobic tails.
4. False
Explanation:
Hello!
Different types of intermolecular junctions can be formed in the molecules:
-Bridge hydrogen bond: It is formed between a hydrogen attached to a very electronegative element (such as oxygen in water) and another very electronegative element (such as oxygen, fluorine). Polar molecules that contain electronegative elements in their structure may form this junction with water.
-Dipole-dipole union: it is formed between polar molecules where the zone with positive charge density of one molecule approaches the zone with negative charge density of another.
-Dipole-induced dipole union: it is formed between polar molecules where the zone with positive charge density of a molecule causes a non-polar molecule to partially polarize. It is a weak union but becomes important in long hydrophobic chains. It is the union that is established between polar compounds and hydrophobic tails of phospholipids.
For a polar compound to enter the hydrophobic space of the phospholipid tails, the cell usually uses other transport systems other than passive transport such as transport by specialized proteins. Water, despite being a polar molecule, due to its small size it can pass through the membrane at low speed.
The bonds formed with water do not break in aqueous medium. the "lack of attraction" does not exist between the molecules, there is always attraction although it can be of different intensity.
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The question concerns the behavior of polar compounds with the phospholipid bilayer of cell membranes. Polar compounds can't interact with the hydrophobic core, not because the core repels them, but because they'd need to break their existing bonds with water and wouldn't be able to form new bonds within the hydrophobic core.
Explanation:The subject is about how polar compounds interact with the phospholipid bilayer, which forms the structure of cell membranes. Polar compounds form hydrogen bonds with the water molecules outside the membrane due to their polar nature. But they cannot form a similar kind of bond with the hydrophobic tails of the phospholipids, which form the core of the cell membrane.
Hydrophobic substances do not have the necessary conditions to form hydrogen bonds with polar compounds, making them unfavorable for such interactions. For a polar compound to pass through the hydrophobic layer, it would have to break the bonds it has with water and then fail to form any new bonds within the hydrophobic core. This would require a lot of energy and is not favorable, thus making it seem like the hydrophobic core 'repels' polar compounds, when in reality, it's a lack of attraction.
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How many milliliters of a 2.0 molar sodium chloride solution would be needed to prepare 250 mL of 0.15 molar sodium chloride solution?
Answer:
18.75 mL
Explanation:
We must apply the dilute factor formula to solve this:
Diluted volume . Diluted M = Concentrated volume . concentrated M
250 mL . 0.15 M = Concentrated volume . 2 M
(250 mL . 0.15 M) / 2M = Concentrated volume
18.75 mL = Concentrated volume
An alpha particle is the same as a helium-4 nucleus: it contains two protons and two neutrons in the nucleus. Given that the radius of an alpha particle is approximately 2.6 fm, calculate the density of an alpha particle in units of grams per cubic centimeter.
Answer:
1.31x10¹¹ g/cm³
Explanation:
The mass of the proton is equal to the mass of the neutron, which is 1.67x10⁻²⁴ g, so the mass of the alpha particle is 4*1.67x10⁻²⁴ = 6.68x10⁻²⁴ g.
1 fm = 1.0x10⁻²³ cm, thus the radius of the alpha particle is 2.3x10⁻¹² cm. If the particle is a sphere, the volume of it is:
V = (4/3)*π*r³, where r is the radius, so:
V = (4/3)*π*(2.3x10⁻¹²)³
V = 5.1x10⁻³⁵ cm³
The density of the particle is the how mass exists per unit of volume, so, it's the mass divided by the volume:
d = 6.68x10⁻²⁴/5.1x10⁻³⁵
d = 1.31x10¹¹ g/cm³
An alpha particle is a helium-4 nucleus consisting of two protons and two neutrons. The density of an alpha particle can be calculated by dividing its mass by its volume. For an alpha particle with a mass of approximately 4 atomic mass units and a radius of 2.6 femtometers, the density is approximately 4.90 x 10⁶ grams per cubic centimeter.
Explanation:An alpha particle is a helium-4 nucleus, consisting of two protons and two neutrons. The density of an alpha particle can be calculated by dividing its mass by its volume. Since the mass of an alpha particle is approximately 4 atomic mass units (amu) and its radius is given as 2.6 fm (femtometers), we can use the formula for the volume of a sphere to find the volume of the alpha particle.
V = (4/3)πr³ = (4/3)π(2.6 fm)³ = (4/3)π(2.6 x 10⁻¹⁵ m)³ = (4/3)π(2.6 x 10⁻¹⁵ x 10⁻¹⁵ x 10⁻¹⁵) m³ = (4/3)π(1.94 x 10⁻⁴) m³ ≈ 8.15 x 10⁻¹³ m³
To convert this volume from cubic meters to cubic centimeters, we can multiply by the conversion factor 1 m³ = 1 x 10⁶ cm³.
Volume in cm³ = (8.15 x 10⁻¹³ m³) x (1 x 10⁶ cm³/m³) ≈ 8.15 x 10⁻⁷ cm³
To find the density, we divide the mass of the alpha particle (4 amu) by its volume (8.15 x 10⁻⁷ cm³).
Density = mass/volume = (4 amu) / (8.15 x 10⁻⁷ cm³) ≈ 4.90 x 10⁶ g/cm³
Endospore structures are resistant to heat and chemicals because of ____ in their protective covering.
Answer:
The spore coat (proteinous coat)
Explanation:
Endospore is usually a position taken by a gram positive bacteria when it lacks nutrient. Endo- means within and the-spore means offspring. This is a complex stage which is a dormant and highly resistive cell wall that allows the bacteria preserve its genetic materials in times of deprivation within this protective cell.
They are also resistant to UV radiation, heat and chemicals. Once the environment become favourable, they reactivate from this vegetative state and absorb nutrients. This vegetative state consists of the following layers:
1. The outer coating called the exosporium which surrounds the spore is the thin layer responsible for covering the spore coat.
2. The proteinous coating which is the spore coat is the next layer which as a sieve. It is resistant to chemical and other toxins.
3. After this proteinous coating is a thick peptidoglycan called the cortex.
3. A cell/core wall which resides under the cortex. This layer will become the cell wall of the bacterium after the endospore germinates.
5. The center/core of the endospore js the next. The core has the spore chromosomal DNA and some cell structures, such as ribosomes and enzymes but is inactive.