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A container of carbon dioxide gas at a pressure of 325 kPa and a temperature of -5.20°C has a fixed volume. What is the pressure inside the container after it warms to 22.5°C?

1 Answer

Feb 17, 2017

Gay Lusaac's Law holds that $P \propto T$ $PpropT$ .............

Explanation:

Gay Lusaac's Law holds that $P \propto T$ $PpropT$ , for a given quantity of gas, a fixed volume, and absolute temperature.

And thus, $\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$ $P_1/T_1=P_2/T_2$

We want $P_{2} = \frac{P_{1}}{T_{1}} \times T_{2}$ $P_2=P_1/T_1xxT_2$ , which expression clearly has units of pressure, as required (why?).

$P_{2} = \frac{325 \cdot k P a}{267.9 \cdot K} \times 295.7 \cdot K = ? ? k P a$ $P_2=(325*kPa)/(267.9*K)xx295.7*K=??kPa$

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