A sample of hydrogen gas occupies a volume of 13.7 L when measured at 512°C and 134 torr. What is the volume of the gas in milliliters if the temperature is decreased to 328°C and the pressure remains constant?

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A sample of hydrogen gas occupies a volume of 13.7 L when measured at 512°C and 134 torr. What is the volume of the gas in milliliters if the temperature is decreased to 328°C and the pressure remains constant?

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Answer 1 · 2018-06-01T12:21:58

Recall,

$P V = n R T$ $PV = nRT$

Let's derive the proportionality equation we need according to your problem,

$\Rightarrow \frac{V_{1}}{T_{1}} = \frac{n R}{P} = \frac{V_{2}}{T_{2}}$ $=> V_1/T_1 = (nR)/P = V_2/T_2$

$\Rightarrow \frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ $=> V_1/T_1 = V_2/T_2$

Hence,

$V_{2} = \frac{V_{1} T_{2}}{T_{1}} \approx 10.5 L \cdot \frac{10^{3} mL}{L} \approx 10.5 \cdot 10^{3} mL$ $V_2 = (V_1T_2)/T_1 approx 10.5"L" * (10^3"mL")/"L" approx 10.5*10^3"mL"$

is the volume when the temperature is reduced.

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A sample of hydrogen gas occupies a volume of 13.7 L when measured at 512°C and 134 torr. What is the volume of the gas in milliliters if the temperature is decreased to 328°C and the pressure remains constant?

1 Answer

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