Answer:
1-c+4c+c=-28+3c
Explanation:
since,the expression can be solved,solve it and gain your answer.Don't truly trust me though.
Final answer:
The expression 1-c+4c-29 is simplified by combining like terms to get 3c-28.
Explanation:
The expression provided by the student is 1-c+4c-29. To simplify this expression, we combine like terms. The terms that contain 'c' can be combined, and the constants can also be combined. We start by adding together the coefficients of 'c', which gives us 3c (since -c + 4c = 3c). Then, we combine the constants 1 and -29, which gives us -28. So simplified, the expression is 3c - 28.
water decomposes in an evacuated 2.00L container. If you started with 20.0 grams of water, determine the total resulting pressure of the two product gases if the reaction happens at 25°C.
Resulting pressure is 13.6 atm.
Explanation:
Using Ideal gas equation, we can find the pressure of the gases formed in the reaction.
PV = nRT
Number of moles, n = given mass / molar mass = 20 g / 18 g/mol
= 1.11 moles
Volume, V = 2 L
Temperature, T = 25°C + 273 = 298 K
R = gas constant = 0.08206 L atm K⁻¹ mol⁻¹
P = nRT/V
= 1.11×0.08206 ×298 / 2
= 13.6 atm
Which equation illustrates conservation of mass?
1. H2 + Cl2 - HC1
2. H I C12 — 2HC1
3.H2 + O2 - H20
4. H2 -02 - 2H20
According to law of conservation of mass, conservation of mass is illustrated by none of the equation as the number of atoms of reactants and products is not same in any equation.
What is law of conservation of mass?According to law of conservation of mass, it is evident that mass is neither created nor destroyed rather it is restored at the end of a chemical reaction .
Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.
Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Antoine Lavoisier in the year 1789.
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how many moles of iron(III) oxide can be produced from 4.0 moles of iron
Answer:
e65
Explanation:
cadhff
The relationship between molecular velocities and temperature is a ___relationship.
indirect
direct
inversely proportional
secondary
Answer:
Direct relationship.
Explanation:
The earth is only several thousands of years old.
True
False
Answer: The earth is only several thousands years old is not true.
Explanation:The age of Earth is estimated to be 4.54 ± 0.05 billion years .
This age may represent the age of Earth's accretion, or core formation, or of the material from which Earth formed.
What is the role of the fungus in the food web shown?
boa constrictor
beetle -
coati
poison dart frog
sloth
strangler fig
fungus
fruit bat
Fungi play a crucial role in the food web shown as they are decomposers. They break down dead organic matter, such as dead plants and animals, and recycle the nutrients back into the ecosystem.
What is the role of microbes in food web system ?Microbes, or microorganisms, play important roles in food webs and ecosystem functioning. They can be found at all trophic levels of the food web, from primary producers to top predators, and their activities have significant impacts on the cycling of energy and nutrients.
In this food web, the fungus likely feeds on dead organic matter produced by the other organisms in the ecosystem, such as the sloth and the fruit bat.
This recycling of nutrients helps to maintain the balance of the ecosystem and supports the growth of other organisms in the food web, such as the strangler fig which may benefit from the nutrients provided by the decomposing organic matter.
Without decomposers like fungi, dead organic matter would accumulate in the ecosystem, leading to nutrient depletion and the eventual collapse of the food web.
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For the reaction
CH3OH + O2 → HCO2H + H2O ,
what is the maximum amount of HCO2H
which could be formed from 8.02 mol of
CH3OH and 15.49 mol of O2?
368.92 g of HCOOH could be formed.
Explanation:
First we have to write the balanced equation as,
CH₃OH + O₂ → HCOOH + H₂O
Here the question said that 8.02 mol of CH₃OH and 15.49 mol of O₂.
In the above reaction methanol and oxygen is used in 1:1 ratio, but the moles are lesser in case of methanol, so CH₃OH is the limiting reagent.
Now by making use of 8.02 moles of methanol, we can produce 8.02 mol of HCOOH.
Molar mass of HCOOH is 46 g/mol.
So mass of HCOOH formed is moles ×molar mass of HCOOH.
8.02 moles × 46 g/mol = 368.92 g of HCOOH could be formed.
46.
How many liters of O2 are needed to react completely with 60 L of H2S at STP (please show your work)
2H2S(g) + 3O2(g)—>2SO2(g) + 2H2O(g)
Answer : The volume of [tex]O_2[/tex] gas needed are, 90 L
Explanation : Given,
Volume of [tex]H_2S[/tex] = 60 L
Now we have to determine the volume of [tex]O_2[/tex] needed.
As we know that at STP, 1 mole of gas contains 22.4 L volume of gas.
The given balanced chemical reaction is:
[tex]2H_2S(g)+3O_2(g)\rightarrow 2SO_2(g)+2H_2O(g)[/tex]
By the stoichiometry we can say that, 2 moles of [tex]H_2S[/tex] react with 3 moles of oxygen gas to give 2 moles of [tex]SO_2[/tex] gas and 2 moles of water vapor.
From the balanced reaction we conclude that,
As, [tex]2\times 22.4L[/tex] volume of [tex]H_2S[/tex] react with [tex]3\times 22.4L[/tex] volume of [tex]O_2[/tex] gas
So, [tex]60L[/tex] volume of [tex]H_2S[/tex] react with [tex]\frac{3\times 22.4L}{2\times 22.4L}\times 60L=90L[/tex] volume of [tex]O_2[/tex] gas
Thus, the volume of [tex]O_2[/tex] gas needed are, 90 L
Find the number of grams of HCl needed to react completely with .50 moles of magnesium. Mg(s) + 2HCl(aq) --> MgCl2(aq) + H2(g)
Answer:
36.46 g of HCl
Explanation:
The balance chemical equation for given single replacement reaction is as follow;
Mg + 2 HCl → MgC₂ + H₂
Step 1: Calculate Moles of HCl required:
According to equation,
1 mole of Mg reacted with = 2 moles of HCl
So,
0.5 moles of Mg will react with = X moles of HCl
Solving for X,
X = 0.5 mol × 2 mol / 1 mol
X = 1 mol of HCl
Step 2: Calculate Mass of HCl as;
Moles = Mass / M.Mass
Or,
Mass = Moles × M.Mass
Mass = 1 mol × 36.46 g/mol
Mass = 36.46 g of HCl
Final answer:
To react 0.50 moles of magnesium completely with HCl, 36.46 grams of HCl are required, based on the stoichiometric ratio from the balanced chemical equation.
Explanation:
To find the number of grams of HCl needed to react completely with 0.50 moles of magnesium, we must refer to the balanced chemical equation Mg(s) + 2HCl(aq) → MgCl₂(aq) + H₂(g). According to the equation, 1 mole of magnesium reacts with 2 moles of HCl. Therefore, 0.50 moles of magnesium will require 1 mole of HCl (0.50 moles Mg × 2 moles HCl/mol Mg = 1 mole HCl).
The molar mass of HCl is approximately 36.46 g/mol. Now, we can calculate the mass of HCl needed:
Mass of HCl = moles HCl × molar mass of HCl = 1 mole × 36.46 g/mol = 36.46 grams of HCl.
WILL MARK BRAINLIEST
Write a paragraph that explains the difference and similarities between solid, liquid, and gas particle motion.
Answer:
They all vibrate, but they all move differently.
Explanation:
Similarities: They all consist of particles and vibrate, just at different frequencies.
Differences: The particles in solids move slowly and vibrate. In liquids, they move a bit quicker and slide past one another. They will also take the shape of the container they're in. In gases, they move freely at high speeds and also taking the shape of the container.
Hope this helped! :)
how many atoms in 54.0 g of aluminum
There are 12.052 ×10²³ atoms in 54 g of aluminium according to the concept of Avogadro's number.
What is Avogadro's number?Avogadro's number is defined as a proportionality factor which relates number of constituent particles with the amount of substance which is present in the sample.
It has a SI unit of reciprocal mole whose numeric value is expressed in reciprocal mole which is a dimensionless number and is called as Avogadro's constant.It relates the volume of a substance with it's average volume occupied by one of it's particles .
According to the definitions, Avogadro's number depend on determined value of mass of one atom of those elements.It bridges the gap between macroscopic and microscopic world by relating amount of substance with number of particles.
Number of atoms can be calculated using Avogadro's number as follows: mass/molar mass×Avogadro's number
Substituting the values in the formula,54/26.98×6.022×10²³=12.052×10²³ atoms .
Hence, there are 12.052×10²³ atoms in 54 g of aluminium.
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Final answer:
To find the number of atoms in 54.0 g of aluminum, you need to convert the mass of aluminum to moles, and then use Avogadro's number to convert moles to atoms.
Explanation:
To find the number of atoms in 54.0 g of aluminum, you need to convert the mass of aluminum to moles, and then use Avogadro's number to convert moles to atoms.
The molar mass of aluminum is 26.98 g/mol, so you can calculate the number of moles by dividing the mass of aluminum by its molar mass:
54.0 g Al / 26.98 g/mol = 2.001 moles Al
Finally, you can determine the number of atoms by multiplying the number of moles by Avogadro's number (6.022 × 10²³ atoms/mol):
2.001 moles Al * 6.022 × 10^23 atoms/mol = 1.204 × 10²⁴ atoms
PLEASE ANSWER
PLEASE ANSWER
Osiris creates the following table of the energy in different electromagnetic waves, measured in electron volts.
Which type of electromagnetic wave belongs in the cell labeled with a question mark? Explain.
It is a radio wave
Explanation:
The energy of an electromagnetic waves is related to its frequency by the equation:
[tex]E=hf[/tex]
where
h is the Planck constant
f is the frequency of the wave
We notice that the energy of an electromagnetic wave is proportional to its frequency. This means that waves with higher frequencies, such as gamma rays, x-rays, are more energetic, while waves with lower frequencies, such as microwave and radio waves, are the less energetic.
In this case, we want to find the frequency of a wave with energy
E = 0.000001 eV
Converting into Joules,
[tex]E=1\cdot 10^{-6} eV \cdot 1.6\cdot 10^{-19} J/eV=1.6\cdot 10^{-25} J[/tex]
Solving for the frequency,
[tex]f=\frac{E}{h}=\frac{1.6\cdot 10^{-25}}{6.63\cdot 10^{-34}}=2.4\cdot 10^8 Hz = 240 MHz[/tex]
Which falls in the range of frequency of radio waves.
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Answer:
Radio waves,because a radio wave has a longer wavelength than both infrared and X-rays, so it has less energy
Explanation:
A piece of jewelry has a mass of 83.2 grams. What is its density?
Answer:
u gotta have the volume of it
Explanation:
cz u need 2 comnues pour appliquer Roe=masse ÷ volumeWhat are the three physical properties of gases?
A. pressure, temperature, and mass
B. pressure, temperature, and volume
C. weight, temperature, and volume
D. pressure, gravity, and volume
Answer: B. Pressure, temperature, and volume
Explanation:
I took the test
hope this helped
The three physical properties of gases are pressure, temperature and volume and the correct option is option B.
What are physical properties of gases?
Gasses do not possess any definite volume or shape. They totally fill all the space accessible to them. The characteristic or properties of gases to fill the available volume within a container is the result of the freedom that gas particles have to move everywhere in the accessible space.
Gases are physical properties of mark sensitivity of volume change with the change of temperature and pressure.
Thus the gases are generally concerned with the relations among four properties, namely mass, pressure, volume, and temperature.
Therefore, The three physical properties of gases are pressure, temperature and volume and the correct option is option B.
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Type of Compound?
Electrolyte or
Non-electrolyte?
NaCl
CO2
Al2O3
H2O2
CaF2
NaCl, H₂O₂ and CaF₂ are electrolytes, whereas CO₂ and Al₂O₃ are non-electrolytes.
Explanation:
An electrolyte is a liquid or solution contains ions which may be decomposed by means of electrolysis.
NaCl dissociates into Na⁺ and Cl⁻ ions in solution is an electrolyte.
CO₂ is a Non-electrolyte.
Al₂O₃ is a Non-electrolyte.
H₂O₂ is an electrolyte
CaF₂ is an electrolyte
Final answer:
The compounds NaCl are electrolytes because they are ionic and can dissociate into ions in solution or when molten. CO are molecular compounds and do not dissociate into ions when dissolved in water, making them non-electrolytes.
Explanation:
The question is asking whether certain compounds are electrolytes or non-electrolytes. An electrolyte is able to conduct electricity when dissolved in water because it separates into ions that are mobile and can move from one electrode to the other. In contrast, a non-electrolyte does not dissociate into ions and hence does not conduct electricity in solution.
NaCl (sodium chloride) is an ionic compound composed of sodium and chlorine. When it dissolves in water, it dissociates into Na+ and Cl- ions. As such, it is an electrolyte.[tex]CO_{2}[/tex] carbon dioxide) is a molecular compound and does not dissociate into ions when dissolved in water, so it is a non-electrolyte.[tex]Al_{2} 0_{3}[/tex] (aluminum oxide) is ionic, but it is not very soluble in water. It can, however, be considered an electrolyte in its molten state.[tex]H_{2} O_{2}[/tex](hydrogen peroxide) is a molecular compound and does not dissociate into ions in solution, therefore it is a non-electrolyte. (calcium fluoride) is ionic and can be considered an electrolyte as it would dissociate into Ca2+ and F- ions if it were to dissolve in water.What is the mole fraction of solute in a 3.73 m aqueous solution
Answer:
it is 0.0572
Hope you will find my answer helpful
To find the mole fraction of the solute in a 3.73 m aqueous solution, one must calculate the moles of solute and solvent. Upon doing so, the mole fraction is determined by dividing the moles of solute by the total moles of the mixture. The approximate mole fraction for the solute in this case is 0.063.
Explanation:To calculate the mole fraction of solute in a 3.73 m aqueous solution, we need to know both the number of moles of the solute and the solvent. The given information indicates that we have 3.73 mol of solute (e.g., NaCl) per 1 Kg of water (solvent).
In this example, we calculate the number of moles of water using its molar mass, which is approximately 18.015 g/mol. Since we have 1.0 kg (or 1000 g) of water, we divide the mass by the molar mass to get the moles of water: 1000 g / 18.015 g/mol ≈ 55.5 mol. Now, we have the necessary information to calculate the mole fraction.
The mole fraction is the moles of solute divided by the total moles of both solute and solvent. Using the moles we found earlier:
Mole fraction of NaCl = Moles of NaCl / (Moles of NaCl + Moles of H₂O)So, the mole fraction of the solute is approximately 0.063.
The acceleration of the car with the data in the table above would bem/s2. If the applied force were cut in half, what do you predict the acceleration would be?m/s2
If the applied force on a car is cut in half, the acceleration is also halved, as acceleration is directly proportional to force.
Explanation:Based on Newton's second law of motion, acceleration (a) is directly proportional to the net applied force (Fnet) and inversely proportional to the mass (m) of the object, which is expressed by the formula a = Fnet/m. From the question, if the applied force to a car is cut in half, the acceleration would also be reduced by half, assuming the mass of the car remains constant. If the initial acceleration was a, then the new acceleration would be a/2 when the force is halved.
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The specific heat of fat is 0.45 cal/(g ⋅ °C) (1.9 J/g °C) and the density of fat is 0.94 g/cm30.94 g/cm3. How much energy (in calories and joules) is needed to heat 10 cm310 cm3 of fat from room temperature ( 25 °C25 °C) to its melting point ( 35 °C35 °C)?
Answer:
5878.6 j
1.405 cal
Explanation:
Given data:
Specific heat of fat = 0.45 cal/g.°C or 1.9 j/g.°C
Density of fat = 30.94 g/cm³
Initial temperature = 25°C
Final temperature = 35°C
Energy needed = ?
Volume of fat = 10 cm³
Solution:
First of all we will calculate the mass of fat from given density and volume.
d = m/v
30.94 g/cm³ = m/ 10 cm³
m = 30.94 g/cm³ × 10 cm³
m = 309.4 g
Now we will calculate the energy needed for fat.
Q = m.c. ΔT
Q = amount of heat absorbed or released
m = mass of given substance
c = specific heat capacity of substance
ΔT = change in temperature
ΔT = T2 - T1
ΔT = 35°C - 25°C
ΔT = 10°C
Q = m.c. ΔT
Q = 309.4 g . 1.9 j/g.°C . 10°C
q = 5878.6 j
In calories,
5878.6 / 4184 = 1.405 cal
The energy required to heat 10cm3 of fat from 25°C to 35°C is calculated using the specific heat formula. The calculations in calories and joules are 42.3 cal and 178.6 Joules respectively.
Explanation:To calculate the amount of energy needed to heat 10 cm3 of fat from 25 °C to 35 °C, we have to understand the concept of specific heat, which is the energy required to raise the temperature of 1 gram of a substance by 1 °C. Here, we are dealing with the substance fat, which has a specific heat of 0.45 cal/(g ⋅ °C) or 1.9 J/g °C and a density of 0.94 g/cm3.
First, determine the mass of the fat using the formula mass = volume × density. Here, volume is 10 cm3 and density is 0.94 g/cm3, which gives us a mass of 9.4 g. The change in temperature (ΔT) we need is from 25°C to 35°C, hence ΔT = 35 - 25 = 10 °C.
The energy required can then be calculated using the formula energy = mass × specific heat × ∆T. For calories, the calculation is energy = 9.4g × 0.45 cal/(g °C) × 10 °C = 42.3 cal. For Joules, the calculation is energy = 9.4 g × 1.9 J/(g °C) × 10°C = 178.6 Joules.
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if two atoms are bonded together, one with six valence electrons, the other with four, how many electrons must they share for both to achieve a full octet?
Answer:
8 electrons
Explanation:
For the two atoms to have an octet configuration, they must share
8 electrons. Two of the atom with six valence electron will bond with one of the atom with four valence electrons. This is clearly seen when carbon react will sulphur to form carbon disulfide. They form covalent double bond (S=C=S)
72.0 grams of water how many miles of sodium with react with it?
Answer:
[tex]\large \boxed{\text{8.00 mol}}[/tex]
Explanation:
We will need a balanced chemical equation with masses, moles, and molar masses.
1. Gather all the information in one place:
Mᵣ: 18.02
2Na + H₂O ⟶ 2NaOH + H₂
m/g: 72.0
2. Moles of H₂O
[tex]\text{Moles of H$_{2}$O} = \text{72.0 g H$_{2}$O} \times \dfrac{\text{1 mol H$_{2}$O}}{\text{18.02 g H$_{2}$O}} = \text{3.996 mol H$_{2}$O}[/tex]
3. Moles of Na
The molar ratio is 2 mol Na/1 mol H₂O.
[tex]\text{Moles of Na} = \text{3.996 mol H$_{2}$O} \times \dfrac{\text{2 mol Na}}{\text{1 mol H$_{2}$O}} = \textbf{8.00 mol Na}\\\\\text{The water will react with $\large \boxed{\textbf{ 8.00 mol}}$ of Na}[/tex]
Final answer:
To find out how many moles of sodium would react with 72.0 grams of water, we calculate moles of water using its molar mass and then apply the stoichiometry of the reaction between sodium and water. We conclude that 4 moles of sodium would react with 72.0 grams of water.
Explanation:
The question appears to contain a typo and seems to ask how many moles of sodium would react with 72.0 grams of water.
Molar mass of water (H₂O) is approximately 18.02 g/mol. Therefore, to find out how many moles of water we have in 72.0 grams, we use the formula:
moles of H₂O = mass of H2O / molar mass of H₂O
moles of H₂O = 72.0 g / 18.02 g/mol = 4 moles of H₂O
The reaction between sodium (Na) and water (H₂O) typically forms sodium hydroxide (NaOH) and hydrogen gas (H2). The balanced chemical equation for this reaction is:
2Na + 2H₂O → 2NaOH + H2
From the balanced reaction, we can see that 2 moles of Na are required to react with 2 moles of H₂O. This means, to react with 4 moles of H₂O, we would need 4 moles of Na.
What is the volume of a solution that has a molarity of 0.600M and contains 4.50 grams of NH4OH?
Answer:
The volume is 214, 3 ml
Explanation:
We calculate the weight of 1 mol of NH4OH:
Weight 1 mol NH4OH= Weight N + (Weight H) * 5 + Weight 0
Weight 1 mol NH4OH= 14g + 1 g* 5 + 16g = 35 g/mol
1 mol NH4OH-----35 g
0,6mol NH4OH----X=(0,6mol NH4OHx 35 g)/1 mol NH4OH= 21 g
We have 0,6 mol in 1000ml of solution (0,600 M)
21g NH4OH-----------1000ml
4,50 g NH4OH------x= (4,50 g NH4OH x 1000ml)/21 g NH4OH= 214, 2857143 ml
The oxygen side of a water molecule is _____.
neutral
slightly negative
slightly positive
Please help me ASAP! I will give 30 points
Examine the scenario.
Initially, two protons are held some distance, apart.
Which choice most accurately describes the electric energy between the two protons?
A. The electric energy is due to the protons’ charges and positions within an electric field, so their energy is a form of potential energy.
B. The electric energy is due to the protons’ masses and positions within a gravitational field, so their energy is a form of potential energy.
C. The electric energy is due to the protons’ motions, so their energy is a form of thermal energy.
D. The electric energy is due to the protons’ motions, so their energy is a form of kinetic energy.
Answer:
A. The electric energy is due to the protons’ charges and positions within an electric field, so their energy is a form of potential energy.
Explanation:
Proton is subatomic particle with positive charge. Things with charge will pull the opposite charge and repel/push the same charge. The closer their position, the higher the energy will be. It should be potential energy since your location(how close it is) determine how strong the energy.
It's not thermal or kinetic energy since this doesn't involve any movement yet.
Is hydroelectric energy a renewable energy source
Answer:
yes
Explanation:
Hydroelectric energy is a renewable energy source that uses the potential energy of water to generate electricity. It's a significant contributor to renewable energy consumption but does come with environmental concerns that need to be addressed.
Yes, hydroelectric energy is considered a renewable energy source. Hydroelectric power plants use the potential energy stored in water held in dams or flowing in rivers to generate electricity. When water is released from the dam, it flows through turbines, converting potential energy into kinetic energy, which is then used to generate electricity.
This process is renewable because it relies on the water cycle, which is a natural and continuous process on Earth. Water evaporates, forms clouds, and then falls as precipitation, continually replenishing the water in rivers and reservoirs. Hydroelectric power does not produce direct pollutants, making it a clean energy source.
While hydroelectric power is a significant portion of renewable energy consumption, accounting for about 35% of the United States' renewable energy, it is not without environmental concerns. Dams can disrupt local ecosystems and obstruct the migratory paths of fish. However, with proper management and environmental considerations, such as fish ladders, these impacts can be mitigated, allowing hydroelectric power to remain a valuable part of our renewable energy portfolio.
histamines are an important chemical in the body . what is their purpose in the immune system
Answer:
Histamine is a protein produced by mast cells in the body. It plays a very important role in the immune system of the body. Histamine is released in the body when affected by an allergen, e.g, pollen or animal dander. The immune system of the body will respond to such allergen by making more mucus in the nose by releasing histamine. There will be sneezing, itching, coughing and runny nose in response. This is a basic defense of the body's immune system to not enter any particle inside the body.
Which two statements explain how a cell's parts help it get nutrients?
A. The mitochondria change energy in organic compounds into a
form the cell can use.
O
B. The nucleus stores instructions needed to make proteins from
amino acids.
o
C. The contractile vacuole collects and squirts excess water out of
the cell.
D. The chloroplasts take in energy from sunlight and change it into
organic matter.
Answer:
A and i think D
Explanation:
Answer:
Can confirm that its A and D.
Explanation:
ape-x
A flask containing 5.98mL of a liquid weighs 163.4 g with the liquid in the flask and 154.9 when empty. Calculate the density of the liquid in g/mL to the correct number of significant digits
Answer:
1.42 g/mL
Explanation:
The mass per unit volume is called as density. It is an intensive property and its value doesn't depend upon the amount of a substance.
It is given as,
Density = Mass / Volume
Data Given:
Mass of Liquid + Flask = 163.4 g
Volume of Liquid = 5.98 mL
Mass of empty Flask = 154.9 g
Mass of Liquid = 163.4 g - 154.9 g = 8.5 g
Formula Used:
Density = Mass / Volume
Density = 8.5 g / 5.98 mL
Density = 1.42 g/mL
A gas is contained in a thick-walled
balloon. When the pressure changes
from 18.7 psi to 20.2 psi, the volume
changes from 0.475 L to 1.054 L and
the temperature changes from
K to 465 K.
Answer:
T₁ = 194 K
Solution:
Data Given:
Initial Temperature = T₁ = ??
Final Temperature = T₂ = 465 K
Initial Pressure = P₁ = 18.7 psi
Final Pressure = P₂ = 20.2 psi
Initial Volume = V₁ = 0.475 L
Final Volume = V₂ = 1.054 L
Formula Used:
Let's assume that the hydrogen gas in balloon is acting as an Ideal gas, the according to Ideal Gas Equation,
P V = n R T
where; R = Universal Gas Constant = 0.082057 atm.L.mol⁻¹.K⁻¹,
Taking number of moles and R constant we can have following formula for initial and final states,
P₁ V₁ / T₁ = P₂ V₂ / T₂
Solving for T₁,
T₁ = P₁ V₁ T₂ / P₂ V₂
Putting values,
T₁ = (18.7 psi × 0.475 L × 465 K) / (20.2 psi × 1.054 L)
T₁ = 194 K
Answer:
194 K
Explanation:
The Pfund series of lines in the emission spectrum of hydrogen corresponds to transitions from higher excited states to the n = 5 orbit. Calculate the wavelength of the second line in the Pfund series to three significant figures. In which region of the spectrum does it lie?
Answer:
[tex]\large \boxed{\text{4650 nm}}[/tex]
Explanation:
The second line in the Pfund series corresponds to a transition from n = 7 to n = 5.
To calculate the wavelength of the transition, we can use the Rydberg equation:
[tex]\dfrac{1}{\lambda} = R_{H}\left ( \dfrac{1 }{n_{1}^{2}} - \dfrac{1 }{n_{2}^{2}} \right )[/tex]
where
[tex]R_{H} = 1.097 \times 10^{7} \text{ m}^{-1}[/tex]
If n₁ = 5 and n₂ = 7
[tex]\begin{array}{rcl}\dfrac{1}{\lambda} & = & 1.097 \times 10^{7} \text{ m}^{-1}\left ( \dfrac{1 }{5^{2}} - \dfrac{1 }{7^{2}} \right )\\\\ & = & 1.097 \times 10^{7} \text{ m}^{-1}\left ( \dfrac{1 }{25} - \dfrac{1 }{49} \right )\\\\ & = & 1.097 \times 10^{7} \text{ m}^{-1}\left ( \dfrac{49 - 25 }{49 \times25}\right )\\\\& = & 1.097 \times 10^{7} \text{ m}^{-1}\left ( \dfrac{24 }{1225}\right )\\\\ & = & 2.149 \times 10^{7}\text{ m}^{-1}\\\end{array}\\[/tex]
[tex]\begin{array}{rcl}\lambda & = & \dfrac{1}{2.149 \times 10^{7}\text{ m}^{-1}}\\\\ & = & 4.65 \times 10^{-6} \text{ m}\\ & = & \mathbf{4650} \textbf{ nm}\\\end{array}\\\text{The wavelength of the line is $\large \boxed{\textbf{4650 nm}}$, which is in the $\textbf{infrared region}$}.[/tex]
The calculated wavelength for the second line in the Pfund series is 4.65 x 10^-6 m (4650 nm), positioning it within the infrared spectrum.
Rydberg Equation:
The Rydberg equation is employed to calculate the wavelength (λ) of light emitted or absorbed during electronic transitions in hydrogen-like atoms.
"1/λ = RH (1/n₁² - 1/n₂²)"
Given Values:
We are given the Rydberg constant (RH) as "1.097 x 10^7 m^-1" and the principal quantum numbers (n₁ = 5 and n₂ = 7).
Substitute Values:
Substituting the known values into the Rydberg equation:
"1/λ = 1.097 x 10^7 (1/5² - 1/7²)"
Evaluate Exponents:
Calculating the squares in the denominators:
"1/λ = 1.097 x 10^7 (1/25 - 1/49)"
Find Common Denominator:
Combining the fractions over a common denominator (1225):
"1/λ = 1.097 x 10^7 (49 - 25)/1225"
Combine Terms:
Simplifying the expression:
"1/λ = 1.097 x 10^7 (24/1225)"
Calculate:
Performing the multiplication:
"1/λ = 2.149 x 10^7 m^-1"
Reciprocal to Find Wavelength:
Taking the reciprocal to find the wavelength:
"λ = 1/(2.149 x 10^7)"
Final Result:
Converting the numerical result to scientific notation:
"λ = 4.65 x 10^-6 m"
= 4650nm
This detailed calculation ensures a comprehensive understanding of each step involved in determining the wavelength.
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A car travels at 70 mi/h and uses gasoline at a rate of 11 km/L. How many gallons of
gas are needed for a 3.0 hours trip?
The car would need approximately 7.73 gallons of gasoline for a 3.0-hour trip at a speed of 70 mi/h, and fuel efficiency of 11km/L.
Explanation:To calculate how many gallons of gas are needed for a 3.0-hour trip, we must first figure out the total distance the car travels. With a speed of 70 miles per hour (mi/hr), the car would cover 70 mi/hr x 3 hours = 210 miles.
Next, we will have to convert miles to kilometers since the fuel consumption rate is given in kilometers per liter (km/L). So, 210 miles ≈ 321.87 kilometers (using conversion factor 1 mile ≈ 1.60934 kilometers).
The car uses gasoline at a rate of 11 kilometers per liter. Therefore, it would consume 321.87 kilometers ÷ 11 km/L ≈ 29.26 liters of gas.
Finally, since gas is usually measured in the U.S. in gallons, we need to convert liters to gallons. 29.26 liters ≈ 7.73 gallons (using conversion factor 1 liter ≈ 0.264172 gallons).
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