Question

6. A sample of a gas has a mass of 0.527 g. Its volume is 0.35 L at a temperature of 88 degree Celsius and a pressure of 945 mm Hg. Find it's molar mass (show your work)

Answer 1

Answer: The molar mass of the gas is 35.87 g/mol.

Step-by-step explanation:

To calculate the mass of gas, we use the equation given by ideal gas:

PV = nRT

or,

`PV=(m)/(M)RT`

where,

P = Pressure of gas = 945 mmHg

V = Volume of the gas = 0.35 L

m = Mass of gas = 0.527 g

M = Molar mass of gas = ? g/mo

R = Gas constant =
`62.3637\text{ L.mmHg }mol^(-1)K^(-1)`

T = Temperature of gas =
`88^oC=[88+273]=361K`

Putting values in above equation, we get:

`945mmHg* 0.35L=(0.527g)/(M)* 62.3637\text{ L.mmHg }mol^(-1)K^(-1)* 361K\\\\M=35.87g/mol`

Hence, the molar mass of the gas is 35.87 g/mol.