Finding Molar Mass of Unknown Gas

  • Thread starter momen1981
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In summary, to calculate the molar mass of a gas using the ideal gas law, we first need to convert the given pressure from atm to kpa. Then, we can use the formula PV=nRT to find the number of moles of the gas. Finally, we can use the formula n=m/M to find the molar mass, where m is the given mass of the gas.
  • #1
momen1981
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Given the following data for a gas, use the equation for the ideal gas law to calculate the molar mass.

Mass = 0.810 g
Pressure = 0.954 atm
Volume = 0.461 L
Temp = 291 K



M = mRT/PV = 44.0?
 
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  • #2
I won't give you the answer but the following is how you solve the equation

PV=nRT

P=pressure (0.954 atm [use kpa since that is what is required in the ideal gas law thus pressure is 0.954*101.325 kpa = 96.66405 kpa])

V=volume (0.461 L)

R=Universal gas constant or 8.314

T=temperature (291 K)

m=mass (0.810 g)

n=mol (unknown)

M=molar mass (unknown)

PV=nRT which becomes

n=PV/RT

After you get mols, use this formula n=m/M or M=n*m
 
  • #3
OK I understand now -- thank you!
 

1. How do you find the molar mass of an unknown gas?

To find the molar mass of an unknown gas, you will need to collect a sample of the gas and measure its volume, pressure, and temperature. Then, using the Ideal Gas Law (PV = nRT), you can calculate the number of moles (n) of the gas. Finally, divide the mass of the gas by the number of moles to find the molar mass.

2. Why is it important to know the molar mass of a gas?

The molar mass of a gas is important because it helps us understand the physical and chemical properties of the gas. It can also be used to determine the density and behavior of the gas under different conditions.

3. What is the unit of measurement for molar mass?

Molar mass is typically measured in grams per mole (g/mol).

4. Can the molar mass of a gas change?

The molar mass of a gas is constant and does not change. However, the molar mass of a gas can vary depending on the temperature, pressure, and other conditions it is under.

5. How does the size and shape of gas molecules affect the molar mass?

The size and shape of gas molecules do not have a direct effect on the molar mass. The molar mass is determined by the total mass of the gas molecules, not their individual size or shape.

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