A sample of nitrogen gas has a volume of 32.4 L at 20°C. The gas is heated to 220°C at constant pressure. What is the final volume of nitrogen?

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A sample of nitrogen gas has a volume of 32.4 L at 20°C. The gas is heated to 220°C at constant pressure. What is the final volume of nitrogen?

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Answer 1 · 2015-12-24T05:15:18

The volume of nitrogen gas at 493 K will be 54.5 L.

Explanation:

This is an example of Charles' law which states that the volume of a gas held at constant pressure is directly proportional to the Kelvin temperature. The equation for Charles' law is $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ $V_1/T_1=V_2/T_2$ .

Given/Known
$V_{1} = 32.4 L$ $V_1="32.4 L"$
$T_{1} = 20^{o} C + 273.15 = 293 K$ $T_1="20"^"o""C"+273.15="293 K"$
$T_{2} = 220^{o} C + 273.15 = 493 K$ $T_2="220"^"o""C"+273.15="493 K"$

Unknown
$V_{2} = ???$ $V_2="???"$

Solution
Rearrange the equation to isolate $V_{2}$ $V_2$ and solve.

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

$V_{2} = \frac{V_{1} T_{2}}{T_{1}}$ $V_2=(V_1T_2)/T_1$

$V_2=(32.4"L"xx493cancel"K")/(293cancel"K")="54.5 L"$

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A sample of nitrogen gas has a volume of 32.4 L at 20°C. The gas is heated to 220°C at constant pressure. What is the final volume of nitrogen?

1 Answer

Explanation:

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