Answer:
11.43g of Aluminum Hydroxide
Explanation:
Since we know that the sulfuric acid is the limiting reactant in this chemical reaction, we know that we are going to be left with excess aluminum hydroxide. So to find the amount of leftover aluminum hydroxide we are going to need to convert the given amount of sulfuric acid to the amount of aluminum hydroxide needed to react with the sulfuric acid.
[tex]\frac{35g H_{2}SO_{4}}{1}*\frac{1 mole H_{2}SO_{4}}{98.079 g H_{2}SO_{4}} *\frac{2 moles Al(OH)_{3} }{3 moles H_{2}SO_{4}} * \frac{78.003 g Al(OH)_{3} }{1 mole Al(OH)_{3} } = 18.557 g Al(OH)_{3}[/tex]
Once you do that, you need to subtract that number from the amount of aluminum hydroxide given to get the amount of left over aluminum hydroxide.
[tex]30 g Al(OH)_{3} - 18.557 g Al(OH)_{3} = 11.43 g Al(OH)_{3}[/tex]
Hope this helps!
1. Which out of the following elements has the lowest electronegativity: Lithium, Beryllium, Magnesium, Sodium
2. Which out of the following elements has the least metallic character: Lithium, Beryllium, Magnesium, Sodium
3. Which out of the following elements is the largest atom: Lithium, Beryllium, Magnesium, Sodium
Explanation:
Sodium (Na) which is a delicate, shimmering white, profoundly responsive soluble base metal loses an electron to a chlorine iota since it has seven electrons in its valence shell. It needs one more electron to turn into a steady molecule. It has the most reduced electronegativity of the given components. Beryllium (Be) is a light, silver-gray, relatively soft metal that is strong but brittle has the least metallic character of the given elements.Since from left to right in a period, Metallic character decreases while nonmetallic character increases from top to bottom.Sodium(Na) is the largest atom among the given elements since Atomic size decreases across a period from left to right and increases from top to bottom.Sodium has lower electronegativity value and a largest atom as compared to given element whereas beryllium has least metallic character.
The element Sodium (Na) has a low electronegativity as compared to other given elements. The electronegativity values of sodium is 0.93, beryllium has 1.57, magnesium has 1.31 and lithium has 0.98 so we can say that sodium has lower electronegativity value.
The element Beryllium (Be) has the least metallic character because beryllium is present at the top of the periodic table. When we go from top to bottom metallic character increases and decreases from left to right in the periodic table.
The element Sodium (Na) has the largest atom among these elements because of more number of shells added when we go from top to bottom which make higher the radius of sodium as well as size so we can conclude that sodium has lower electronegativity value and a largest atom as compared to given element whereas beryllium has least metallic character.
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Explain how the processes that occur at mid-ocean ridges and ocean trenches illustrate the cycling of matter.
Explanation:
This uplifting of the ocean floor occurs when convection currents rise in the mantle beneath the oceanic crust and create magma where two tectonic plates meet at a divergent boundary. The other process proposed to contribute to the formation of new oceanic crust at mid-ocean ridges is the "mantle conveyor".
Mid-ocean ridges and ocean trenches has been result in the cycling of matter with the movement of tectonic plates.
Cycling of matter has been defined as the transfer of matter from one place to another. The transfer of matter has been achieved within the ecosystem.
Mid-ocean ridges and ocean trenchesThe mid-ocean ridges have been present in the part of the divergent plate boundaries. The ocean trenches have been the convergence of the tectonic plates.
The convergence and divergence of the tectonic plates results in the transfer of matter from one place to another. Thus, mid-ocean ridges and ocean trenches has been result in the cycling of matter with the movement of tectonic plates.
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2 Pb(NO3)2 – 2 PbO + 4 NO2 + O2
Explanation:
Chemical reaction
When two or more substances react and form some new substance it is called as chemical reaction .
There are so many reactions , out of which decomposition is also one type .
It is explained below :
Decomposition reaction
it is the type in which a reactant breaks up into its constituents either by heating or passing current or in presence of light .
That is :
(a) Photo decomposition (breaking in presence of light )
Examples AgCl-----Ag+Cl₂
(white ) (grey )
(B)Electrolytic decomposition : breaking by passing current
Example : NaCl------Na+Cl₂
©Thermal decomposition : breaking by heating )
Example : Pb(No₃)₂-----PbO+NO₂+O₂
(reddish brown gas )
ACTIVITY TO DEMONSTRATE : heating of ferrous sulphate
FeSO₄.7H2O------FeSO₄+7H₂O
(GREEN )
FeSO₄-----------------heat -------Fe₂O₃+SO₂+SO₃
This question is done considering : Identify the type of reaction
2 Pb(NO3)2 – 2 PbO + 4 NO2 + O2
Balance this chemical equation
K₂S+ CocI2 KCl + Cos
Please help thank you;) well
Answer: a. 2K + I2 => 2 KI
Explanation: Potassium or K is in group 1 so its oxidation is 1+ while Iodine is in group 7 so its oxidation is -1. Iodine is expressed as I2 when written individually. So the reaction is K reacts with I2 to produce KI. Then balance the equation by adding 2 to K and 2 to KI to balance the equation.
How many moles of molecules are in 10 g of aspartame?
Answer:
molecules
Explanation:
Data Given:
mass of aspartame = 10 g
molecules of aspartame = ?
Solution
First we calculate no. of moles of 10 g aspartame
For which mole formula will be used
no. of moles = mass in grams / molar mass . . . . . . .(1)
Formula of aspartame:
C₁₄H₁₈N₂O₅
So,
The molar mass of aspartame (C₁₄H₁₈N₂O₅) will be
molar mass of C₁₄H₁₈N₂O₅ = 14(12) + 18(1) + 2(14) +5(16)
molar mass of C₁₄H₁₈N₂O₅ = 168 + 18+ 28 + 80
molar mass of C₁₄H₁₈N₂O₅ = 294 g/mol
put values in equation 1
no. of moles = 10 g / 294 g/mol
no. of moles = 0.034 mol
now we will calculate no. of molecules
Formula will be used
no. of moles = no. of molecules / Avogadro's number
Rearrange the above equation:
no. of molecules = no. of moles x Avogadro's number . . . . . (2)
Where
Avogadro's number = 6.022 x 10²³
Put values in equation 2
no. of molecules =0.034 mol x 6.022 x 10²³ (molecules/mol)
no. of molecules = 2.0475 x 10²²
So,
There are 2.0475 x 10²² molecules are in 10 grams of aspartame that is 0.034 moles of aspartame.
So, in turn its 0.034 moles of molecules are in 10 g of aspartame.
The moles of molecules are in 10 g of aspartame - 0.034 × 10¹⁹
The number of molecules of a given mass of a substance using the molar mass of the substance and Avogadro's constant, 6.022 × 10²³
Molecular formula of aspartame = C₁₄H₁₈N₂O₅ Molecular mass of aspartame = ( 12 * 14 ) + ( 1 * 18 ) + ( 14 * 2 ) + ( 16 * 5 ) = 294 Let's convert the given mass, 10 mg to moles of aspartame:The number of moles = [tex]mass\ of\ the\ substance * \frac{1}{molecular\ mass}[/tex]
= [tex]\frac{10}{294}[/tex]
= 0.034 × 10 ⁻⁵ mole
Using Avogadro's constant, we can convert this value to molecules as so:
= 0.034 × 10 ⁻⁵ (6.022 × 10²³)
= 0.034 × 10¹⁹
Thus, the moles of molecules are in 10 g of aspartame - 0.034 × 10¹⁹
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Calculate answers to the following problems to the correct number of significant figures. 30.07g/0.106mL=
Answer:
d = 283.68 g/mL
Explanation:
Density:
Density is equal to the mass of substance divided by its volume.
Units:
SI unit of density is Kg/m3.
Other units are given below,
g/cm3, g/mL , kg/L
Formula:
D=m/v
D= density
m=mass
V=volume
Symbol:
The symbol used for density is called rho. It is represented by ρ. However letter D can also be used to represent the density.
Here the unit given are gram/ milliliter. The given data shows that its density, because,
density = mass/ volume
d = m/v
d = 30.07 g/ 0.106 mL
d = 283.68 g/mL
How many moles are in 123.0grams of KCIO4?
Answer:
first.....lets calculate the molar mass of KClO4
39+35.5+16*4
39+35.5+64
=138.5g/mol
so that mean every mole have 138.5g...got that?
138.5g = 1mole
123g=x mole
123/138.5=x
x=0.888mol
Answer:
Number of moles = mass /molar mass
= 123 g/ 242.0111 g/mol
= 0.508 mol
Explanation:
What is the mole fraction of NaOH in an aqueous solution that contains 15% NaOH by mass?
Answer:
0.074
Explanation:
15% means that in 100 g of solution 15 g sodium hydroxide is present.
Mass of water = 100 - 15 = 85 g
Number of moles of sodium hydroxide:
Number of moles = 15 g/40 g/mol
Number of moles = 0.375 mol
Number of moles of water:
Number of moles = 85 g/18 g/mol
Number of moles = 4.7 mol
Moles fraction of NaOH:
moles of NaOH/ moles of solvent + moles of solute
0.375 mol/ 0.375 mol+4.7mol
0.375 mol / 5.075 mol
0.074
Select the correct answer from each drop-down menu.
00
When a liquid is cooled, the kinetic energy of the particles
the space between the particles
between the particles
, and the matter changes its state to solid.
i
When a liquid is cooled, the kinetic energy of the particles decrease and the space between the particles also decrease, and the matter changes its state to solid.
Explanation:Liquid is the state of matter which is one of the fluid, and its denser than gases but rarer than solids. The particles of liquid have a particular amount of kinetic energy which depends on the temperature of the liquid. As the temperature is decreased, the energy content of the matter as a whole decreases. This in turn, decrease the energy levels of individual molecules, and the kinetic energy of the molecule also decrease.
As the kinetic energy of the molecules decrease, the collision between the molecules decrease. This brings the molecules closer, binding them into the van der Waal's force. Thus they condense into solids.
Which element has a larger volume tin or titanium?
Answer:
tin (Sn) have larger volume than titanium (Ti)
Explanation:
Data Given:
larger volume of titanium or tin?
Solution:
First we will find volume for each element.
To calculate volume of Titanium (Ti):
formula used
d = m/v
Rearrange the above formula for volume
v = m/d . .. . . .(1)
Where
v= volume
d= density
m= mass
As Reported
Mass of Titanium = 48 g/mol
density of Titanium = 4.506 g/cm³
Put values in above equation 1
v = 48 g/mol / 4.506 g/cm³
v = 10.65 cm³/mol
volume of 1 mole Titanium 10.65 cm³
_______
Now we will find volume for tin (Sn)
To calculate volume of tin (Sn):
formula used
d = m/v
Rearrange the above formula for volume
v = m/d . .. . . .(1)
Where
v= volume
d= density
m= mass
As Reported
Mass of Tin= 118.7 g/mol
density of Tin = 7.31 g/cm³
Put values in above equation 1
v = 118.7 g/mol / 7.31 g/cm³
v = 16.24 cm³/mol
volume of 1 mole Tin 16.24 cm³
So,
It is clear that tin (Sn) have larger volume than titanium (Ti)
4 C3H6 + 6 NO --> 4 C3H3N + 6 H2O + N2
If 24 moles of NO react, how many moles of nitrogen gas will be produced??
Answer:
4 moles of Nitrogen gas is produced.
Explanation:
Is in the picture. I used mole ratio.
Hope this helps!
how many molecules of NaCl are there in 250 grams of table salt
Answer:
4.27 moles of NaCl
Explanation:
Molar mass of NaCl = 23 + 35.5 = 58.5 g/mol
Number of moles of NaCl(table salt) = 250 grams /58.5 g/mol
= 4.27 moles of NaCl
c. Under normal conditions, carbon dioxide gas turns directly into a solid as
it is cooled. What could be done to make carbon dioxide form a liquid?
Explanation:
I think for changing Co 2. to liquid is cooling and high pressure condition .
I hope it's useful.
Under specific conditions of high pressure and low temperature, carbon dioxide gas can turn into a liquid. This requires exceeding the carbon dioxide's triple point, which is 5.1 atmospheres of pressure and -56.6 degrees Celsius.
Explanation:To turn carbon dioxide gas into liquid form, you would need to create specific conditions of high pressure and low temperature.
Under normal atmospheric pressure, carbon dioxide will sublimate (change directly from a solid to a gas), skipping the liquid phase as it is cooled. However, if the carbon dioxide is subjected to a pressure greater than 5.1 atmospheres at a temperature below -56.6 degrees Celsius, it will turn into a liquid rather than a solid. This is known as the triple point of a substance, the specific set of conditions where a substance can exist in all three states - solids, liquids and gases.
So, basically to make carbon dioxide form a liquid, you would need to increase the pressure and decrease the temperature to a point above its triple point.
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which area of chemistry deals with the mechanism the rate and the energy transfer that occurs when the matter undergoes a change?
a. bio
b. organic
c. unorganic
d. physical
Answer:D physical chemistry
Explanation:when a matter undergo changes i.e transit from one form to another is a study that falls under physical chemistry,basically those changes can be seen,for example water at temperature below 0^°c is seen as ice,a solid structure completely different in structure, characteristics from water while at 100^°c ,it forms vapor a gas .this process involves latent heat and heat capacity and can be actually calculated to understand the mechanism involved.
How did scientist discover that earths outer core is liquid
The two observation made them came to the conclusion that earth's outer core is liquid is, 'Shear waves' one of energy waves do not travel through the outer layer and the magnetic field found in earth's surface
Explanation:
Shear waves are nothing but caused by shear force, it forms as a result of earthquakes.Shear force is defined as the force you need to rub two solid objects. Scientist found that shear waves disappear when it reaches the outer core of the earth and re-appears when it reaches the inner core of the earth.As we all know, earth has a magnetic field which reaches the atmosphere, for this either there should be a permanent magnet inside the core of the earth or ionized molecules flow in the liquid.Earth cannot have a permanent magnet in the core because of the high temperature at the core hence, the other option is feasible.Many kinds of animals eat blackberries. Which of the following will most likely happen to the seeds of a blackberry plant after the fruit is eaten by an animal?
Answer:
The seed of the blackberry will be released in the faeces of the organisms. The seed of the blackberries will be distributed to different locations. When the seed will be dropped to a favourable location, the seed will germinate and a plant will grow from it. In this way, seeds are able to be dispersed at more favourable locations via animal sources. Hence, they will have better chances of growing in different areas.
Answer: The seeds will be deposited in the animal's waste so that they can grow into a new blackberry plant
Explanation:
What does the monomer unit of Polyester look like? And what’s its chemical formula?
Answer:
The monomers of polyesters are,
(i) A Dicarboxylic Acid
(ii) A Dialcohol
Explanation:
As depicted from name polyester is a macromolecule which contains numerous ester functional groups. Ester is formed by the condensation of Carboxylic acid and alcohol as shown,
R-COOH + R'OH → RCOOR' + H₂O
Therefore, in order to utilize this reaction for the formation of long chain of polyesters then one can use a dicarboxylic compounds and dialcohol compounds. This will allow to propagate the chain length depending upon the requirement. Hence, the general reaction for the formation of polyester is shown below. The circle and rectangle specifies different moieties which imparts different characters to the polyester.
Final answer:
The monomer unit of Polyester is made from a reaction between a dicarboxylic acid and a dihydric alcohol, forming ester bonds and water. Polyethylene terephthalate (PET) is a common type of polyester formed from terephthalic acid and ethylene glycol. Polymers have diverse properties and uses based on their composition.
Explanation:
The monomer unit of Polyester typically consists of a dicarboxylic acid combined with a dihydric alcohol, which during a condensation polymerization process, reacts to form an ester bond and water as a byproduct. The chemical formula of this reaction involves two major functional groups: -COOH (carboxylic acid) and -OH (alcohol). In the case of Polyethylene terephthalate (PET), which is the most common polyester, terephthalic acid and ethylene glycol are the monomers that condense to form the repeating units of the polymer.
Polyester is synthesized through a condensation reaction, also known as dehydration synthesis, where each ester linkage formed results in the production of a molecule of water. This is different from hydrolysis reactions, which break down polymers into monomers using water.
Properties and Uses of Polymers:
Properties of polymers such as strength, elasticity, and thermal stability can vary widely depending on their chemical composition.Common uses of polymers include clothing, packaging materials, and components in various mechanical and structural applications.Name
Prelaboratory Assignment 1
Show work for credit!
Section
25 pts
1. A dry beaker weighing 45.48 g is completely filled with water and reweighed. The filled
flask was found to have a mass of 78.648 g at is 25 °C. The mass of water required to fill
the flask is--
The mass of water required to fill the flask is 33.17 g
Why?
To find the mass of water required to fill the flask we have to apply the weight by difference method.
It consists in determining the difference between the filled flask and the dry one. The difference is going to be the mass of water that was inside the flask, knowing that the total weight is the sum of the mass of the water and the dry flask.
Knowing that we can use the following equation:
[tex]massH_2O=Total Mass-MassDryBeaker=78.648g-45.48g=33.17g[/tex]
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The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that
just arrived. The book shelf was bought at a wholesale price of $147.00, and Gabriela's Furniture Store
marks up all furniture by 60%.
At what price should the manager sell the book shelf?
Answer:
The manager sold the book shelf at $235.2
Explanation:
Since we have given that
Wholesale price of the book shelf = $147.00
But Gabriela's Furniture Store marks up all furniture by 60%.
So, Mark up value is given by
= [tex]\frac{60}{100} \times 147[/tex]
= [tex]\frac{8820}{100}[/tex]
= $88.2
So, the new price that the manager sold the book shelf is given by
= 147 + 88.2
= $235.2
Therefore, the manager sold the book shelf at $235.2
An empty beaker weighs 49.03 g. When completely filled with water, the beaker and its contents have a total mass of 267.05 g. What volume does the beaker hold? Use d = 1.00 g/mL as the density of water.
Answer:
218.02 mL
Explanation:
Data Given:
weight of the empty beaker = 49.03 g
weight of water and beaker = 267.05 g
density of water = 1 g/mL
Solution:
As we know that the volume that beaker hold is the volume of water that occupied by it.
For this first we have to find mass of the water in the beaker
This can be calculated by the subtraction of beaker's weight from the weight of beaker and water.
weight of water (m) = total weight - weight of beaker
put values in the above formula
weight of water (m) = 267.05 g - 49.03 g
weight of water (m) = 218.02 g
To find volume we will use density formula
d = m/v
rearrange the above equation to calculate volume
v = m/d . . . . . . . (1)
put values in equation 1
v = 218.02 g / 1 (g/mL)
v = 218.02 mL
The volume that beaker hold = 218.02 mL
which type of fertilization and development is exhibited by birds and many reptiles?
Answer: Internal fertilization
Explanation: Most birds and reptiles undergoes internal fertilization in which the sperm cells are ejected and fertilizes the egg cell inside the body of the animal.
Birds and many reptiles undergo oviparity, where internal fertilization leads to the laying of hard-shelled eggs that develop outside the parent's body. The calcified eggshell provides protection and the amniotic cavity within offers a stable environment for the embryo. This adaptation facilitates thriving in diverse, often drier habitats.
Explanation:Birds and many reptiles exhibit a type of fertilization and development known as oviparity. In this process, internal fertilization occurs within the parent's body, but the offspring develop outside of the parent's body. The fertilized eggs are laid by the female, and the embryo develops receiving nourishment from the egg's yolk within an eggshell enriched with calcium carbonate, which makes the shell hard. An example of an oviparous animal is the chicken, whose eggs we are commonly familiar with. This mechanism provides protection to the embryos and has allowed these species to thrive in various environments, leading to less dependence on water for the development of the young.
Reptiles and birds possess four extraembryonic membranes: the yolk sac, the amnion, the chorion, and the allantois. The amnion creates an aquatic environment for the embryo, which is significant for their terrestrial lifestyle. Through oviparity, reptiles and birds have adapted to drier environments, an evolutionary advantage over their amphibian relatives.
How is primary succession similar to secondary succession
Answer:
hu?
Explanation:
Calculate the volume of hydrogen needed to saturate the double bonds in 100 g of linoleic acid (RMM = 280).
The answer is 17.28 dm^3
Answer:
15.99 dm³
Explanation:
The molecular formula of Linoleic acid is C₁₈H₃₂O₂. As shown in attached figure, the Linoleic acid contains two double bonds hence we can say that in the Hydrogenation reaction of Linoleic acid 2 mole of H₂ are added across the two double bonds to make it saturated (Stearic acid).
The balance chemical equation for the hydrogenation of Linoleic acid is as follow:
C₁₈H₃₂O₂ + 2 H₂ → C₁₈H₃₆O₂
Calculating moles of Linoleic acid:
Moles = Mass / M/Mass
Moles = 100 g / 280 g/mol
Moles = 0.357 moles Linoleic acid
Calculating moles of Hydrogen:
According to equation:
1 mole C₁₈H₃₂O₂ required = 2 moles of H₂
So,
0.357 moles Linoleic acid will require = X moles of H₂
Solving for X,
X = 2 moles × 0.357 moles / 1 mole
X = 0.714 moles of H₂
Calculating volume of Hydrogen Gas:
Let us assume that the volume is calculated at standart temperature (273.15 K) and pressure (1 atm). We know that STP,
1 mole of gas occupies = 22.4 dm³ of volume
So,
0.714 moles of gas will occupy = X dm³ of volume
Solving for X,
X = 22.4 dm³ × 0.714 moles / 1 mole
X = 15.99 dm³
Note: As the answer is not 17.28 dm³ so it means that the conditions for gas like temperature and pressure are different and are not mentioned in statement. Hence, if the conditions are known then one can use ideal gas equation i.e. PV=nRT to solve for volume.
Help with with percent yield
Answer:
Percent yield = 63.3%
Explanation:
Given data:
Mass of copper = 32.89 g
Mass of oxygen = 32.89 g
Mass of copper(II) oxide formed = 26.20 g
Mass of calcium chloride produced = ?
Solution:
The actual yield of reaction is the amount that you have recovered such as 26.20 g.
Theoretical yield will be calculated in the following way,
Chemical equation:
2Cu + O₂ → 2CuO
Number of moles of Cu:
Number of moles = Mass /molar mass
Number of moles = 32.89 g / 63.55 g/mol
Number of moles = 0.52 mol
Number of moles of O₂:
Number of moles = Mass /molar mass
Number of moles = 32.89 g / 32 g/mol
Number of moles = 1.03 mol
Now we will compare the moles of CuO with Cu and O₂.
O₂ : CuO
1 : 2
1.03 : 2.06
Cu : CuO
2 : 2
0.52 : 0.52
The number of moles of CuO produced by Cu are less so it will limiting reactant.
Mass of CuO: (THEORETICAL YIELD)
Mass = number of moles × molar mass
Mass = 0.52 mol × 79.55 g/mol
Mass = 41.4 g
Percent yield:
Percent yield = actual yield / theoretical yield × 100
Percent yield = 26.20 g/ 41.4 g × 100
Percent yield = 63.3%
Glial cells are
cells that support neurons.
cells that produce sweat.
cells that transmit messages.
cells that sometimes attack the nervous
system.
Answer:
Cells that support neurons
Mercury freezes at -38.9C. What is the coldest temperature, in degrees Fahrenheit, that can be measured by using a mercury thermometer?
Answer:
Liquid thermometers can be limited by the type of liquid used. Mercury, for instance, becomes a solid at -38.83 degrees Celsius (-37.89 degrees Fahrenheit). Mercury thermometers cannot measure temperatures below this point.:
Mercury freezes at -38.9°C, which is equivalent to -37.22°F, making it the coldest temperature that can be measured using a mercury thermometer.
Explanation:Mercury freezes at -38.9°C. To convert this temperature to Fahrenheit, we can use the formula: F = (C * 9/5) + 32. Plugging in the value of -38.9°C, we get: F = (-38.9 * 9/5) + 32 = -37.22°F. Therefore, the coldest temperature that can be measured using a mercury thermometer is -37.22°F.
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How many moles are in 3.60 g of H20?
Answer: 0.2 moles H2O
Explanation: 1 mole of H2O is equal to the molar mass of water
Solution:
3.60 g H2O x 1mol H2O / 18 g H2O
= 0.2 mol H2O
ANSWER ASAP! WILL GIVE BRAINLIEST!
While testing the air bags in a car, engineers observed that the compressed air in the bags expanded on impact. Which of the following best justifies the type of changes taking place during the process?
1. Physical change because heat of combustion is a chemical property.
2. Chemical change because heat of combustion is a chemical property.
3. Physical change because compressibility is a physical property.
4.Chemical change because compressibility is a physical property.
Answer:
. Physical change because compressibility is a physical property.
Explanation:
I took a test with this in it and this was right.
Answer:
C
Explanation:
the answer is c because compressibility is a physical property
A science teacher has a supply of 20% saline solution and a supply of 50% saline solution. How much of each solution should the teacher mix together to get 60 mL of 28% saline solution for an experiment? (1 point)
A) 16 mL of the 20% solution and 44 mL of the 50% solution
B) 44 mL of the 20% solution and 16 mL of the 50% solution
C) 16 mL of the 20% solution and 16 mL of the 50% solution
D) 44 mL of the 20% solution and 44 mL of the 50% solutionhow many solutions does the system of equations have y-6x=-3 and 4y-24x=-16
Answer:
B)Explanation:
[tex]\text{Let}\\\\x-\text{a volume of}\ 20\%\ \text{saline solution}\\\\y-\text{a volume of }\ 50\%\ \text{saline solution}\\\\p\%=\dfrac{p}{100}\\\\20\%=\dfrac{20}{100}=\dfrac{2}{10}=0.2\\\\50\%=\dfrac{50}{100}=\dfrac{5}{10}=0.5\\\\0.2x-\text{a volume of salt in }\ 20\%\ \text{saline solution}\\0.5y-\text{a volume of salt in }\ 50\%\ \text{saline solution}\\\\60mL-\text{a volume of}\ 28\%\ \text{saline solution}\\\\28\%=\dfrac{28}{100}=0.28[/tex]
[tex]0.28\cdot60mL=16.8mL-\text{a volume of salt in }\ 28\%\ \text{saline solution}\\\\\text{Equations}\\\\(1)\qquad x+y=60\\(2)\qquad0.2x+0.5y=16.8[/tex]
[tex]\left\{\begin{array}{ccc}x+y=60\\0.2x+0.5y=168&\text{multiply both sides by 10}\end{array}\right\\\left\{\begin{array}{ccc}x+y=60&\text{multiply both sides by (-2)}\\2x+5y=168}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-2x-2y=-120\\2x+5y=168}\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad3y=48\qquad\text{divide both sides by 3}\\.\qquad y=16[/tex]
[tex]\text{Put the value of}\ y\ \text{to the first equation:}\\\\x+16=60\qquad\text{subtract 16 from both sides}\\x=44[/tex]
B) 44 mL of the 20% solution and 16 mL of the 50% solution.
The calculation is as follows:Here we used "Mixture Allegation" to determine the quantity of each solution:
Ist type of solution II nd type of solution
20% 50%
28%
--------------------------------------------------------------------------------------
50%-28% : 28%-20%
22% : 8%
11 : 4
There is total quantity of 60 ml of solution.
So, Quantity of 20% solution in the mixture is provided by
[tex]\frac{11}{15} \times 60 = 11\times 4 = 44 ml[/tex]
And, Quantity of 50% solution in the mixture is provided by
[tex]\frac{4}{15} \times 60 = 11\times 4 = 16 ml[/tex]
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