Question

What is the density of the gas at pressure $760$ mm $Hg$ and temperature $310$ K?

The molar mass of the gas is $25$ g/mol.

• A. $0.1g/L$
• B. $0.98g/L$
• C. $22.4g/L$
• D. $75g/L$
• E. $633g/L$

Answer 1

Answer: (B)

$0.98g/L$

Density $=\frac{P\times M}{RT}$
$P$ $=$ pressure , $M$ $=$ Molar mass, $R$ $=$ Gas constant $=0.082Latmmo{l}^{-1}{K}^{-1}$
$P$ $=760$ mm $Hg$ $=1$ atm
Density $=\frac{1\times 25}{0.0820\times 310}=0.983$ g/mL $\approx 0.98$ $g/L$.