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?

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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?

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Answer 1 · 2016-05-18T05:13:31

$T = 406.7$ $T = 406.7$ $K$ $K$

Explanation:

Given :

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

Volume $V$ $V$ = $22$ $22$ $L$ $L$

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

Temperature $T$ $T$ = $?$ $?$

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

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

$T = \frac{P V}{n R}$ $T = (PV) /(n R)$

$T$ $T$ = $\frac{0.470 atm \times 22 L}{0.082 L atm m o l^{- 1} K^{- 1} \times 0.310 mol}$ $(0.470 " atm" xx 22 L) /( 0.082 L " atm " mol^-1 K^-1 xx 0.310 " mol")$

$T = 406.7$ $T = 406.7$ $K$ $K$

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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?

1 Answer

Explanation:

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