Problem: A 1.26 g gas sample occupies 651 mL at 31°C and 1.00 atm.What is the molar mass of the gas?

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:

V=651 mL×10-3 L1 mL

V = 0.651 L

P = 1.00 atm
T = 31°C + 273.15 = 304.15 K
R = 0.08206 (L·atm)/(mol·K)           


Calculate for n:

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Problem Details

A 1.26 g gas sample occupies 651 mL at 31°C and 1.00 atm.

What is the molar mass of the gas?

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