Problem: The mass of a sample of gas is 827 mg. Its volume is 0.270 L at a temperature of 88°C and a pressure of 975 mmHg. Find its molar mass.

FREE Expert Solution

Molar mass:

Molar Mass (MM)=gmol


First, we have to calculate the amount of gas in moles using the ideal gas equation.

PV=nRT

P = pressure, atm
V = volume, L
n = moles, mol
R = gas constant = 0.08206 (L·atm)/(mol·K)
T = temperature, K


Isolate n (number of moles of gas): 

PVRT=nRTRTn=PVRT


Given:

P=975 mmHg×1 atm760 mmHg

P = 1.2829 atm

V = 0.270 L
T = 88°C + 273.15 = 361.15 K
R = 0.08206 (L·atm)/(mol·K)           


Calculate for n:

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Problem Details

The mass of a sample of gas is 827 mg. Its volume is 0.270 L at a temperature of 88°C and a pressure of 975 mmHg. Find its molar mass.

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