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Question

# If the volume of a sample of chlorine gas is 8.2 L at 1.2 atm and 306 K, what volume will the gas occupy at STP?

Solution

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Given:

$V=8.2 \ L \\ P = 1.2 \ atm \\ T= 306 K$

At STP: $V=? \ L \\ P=1.0 \ atm \\ 273 \ K$

Let us solve using combined gas equation.Then substitute values and solve.

\begin{align} \dfrac{P_1V_1}{T_1}&=\dfrac{P_{STP}V_{STP}}{T_{STP}} \\ V_{STP}&=\dfrac{P_1V_1T_{STP}}{T_1P_{STP}} \\ &=\dfrac{(1.2 \ atm)(8.2 \ L)(273 \ K)}{(306 \ K)(1.0 \ atm)} \\ &=8.778823529 \ L \\ V_{STP}&=8.8 \ L \end{align}

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