# What is the volume of 4.00 mol Ar gas at 8.25 torr and 27°C?

Sep 24, 2016

Large, approx. $9 \cdot {m}^{3}$.

#### Explanation:

We use the Ideal Gas Equation, and should also know that $1 \cdot a t m$ pressure will support a column of mercury $760 \cdot m m$ high. The Ideal Gas Equation requires a temperature in $\text{degrees Kelvin}$ $=$ ""^@C+273.15.

$V = \frac{n R T}{P}$

$=$ $\frac{4.00 \cdot m o l \times 0.0821 \cdot L \cdot a t m \cdot {K}^{-} 1 m o {l}^{-} 1 \times 300 \cdot K}{\frac{8.25 \cdot m m \cdot H g}{760 \cdot m m \cdot H g \cdot a t {m}^{-} 1}}$

The units of pressure and temperature all cancel out to give an answer in $\text{litres}$.