# A 0.310 mol sample of xenon gas has a volume of 22.0 L at a pressure of 0.470 atm. What is the temperature of the gas in degrees Celsius?

May 18, 2016

$T = 406.7$ $K$

#### Explanation:

Given :

number of moles = $n$ = $0.310$ $m o l$

Volume $V$ = $22$ $L$

Pressure $P$ = $0.470$ $a t m$

Temperature $T$ = ?

Gas constant , $R$ , = $0.082$ $L$ $a t m$ $m o {l}^{-} 1 {K}^{-} 1$

Using gas equation ; $P V = n R T$

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

$T$ = (0.470 " atm" xx 22 L) /( 0.082 L " atm " mol^-1 K^-1 xx 0.310 " mol")

$T = 406.7$ $K$