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The temperature of a gas is T1 and the original pressure is P1. The temperature of the gas is changed to T2. Which of the equations below would you use to find the new pressure (P2)?

1 Answer

May 9, 2018

$P_{2}$ $P_2$ = $P_{1} (\frac{T_{2}}{T_{1}})$ $P_1(T_2/T_1)$

Explanation:

Pressure is directly proportional to Temperature for a confined gas (Gay-Lussac Law). If mass and volume are constant then ...

$P \propto T$ $PpropT$ => $P = k T$ $P=kT$ => $k = \frac{P}{T}$ $k=P/T$

For two sets of conditions, $k_{1} = k_{2}$ $k_1 = k_2$ and $\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$ $P_1/T_1=P_2/T_2$

Solving for $P_{2}$ $P_2$ => $P_{2} = P_{1} (\frac{T_{2}}{T_{1}})$ $P_2=P_1(T_2/T_1)$ (mass & Volume are constant)

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