The temperature of 24 Iiters of a certain gas is 300 K. If we change the temperature to 400 K, what is the new volume of the gas?

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The temperature of 24 Iiters of a certain gas is 300 K. If we change the temperature to 400 K, what is the new volume of the gas?

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Answer 1 · 2016-05-10T18:21:32

The second volume is 32 L.

Explanation:

This is an example of Charle's law, which states that the volume of a given amount of gas kept at constant pressure will vary directly with the temperature in Kelvins. The equation to use is $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ $V_1/T_1=V_2/T_2$ .

Given
$V_{1} = 24 L$ $V_1="24 L"$
$T_{1} = 300 K$ $T_1="300 K"$
$T_{2} = 400 K$ $T_2="400 K"$

Unknown
$V_{2}$ $V_2$

Solution
Rearrange the equation to isolate $V_{2}$ $V_2$ . Substitute the given values into the equation and solve.

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

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

$V_2=((24"L"xx400cancel"K"))/(300cancel"K")="32 K"$

$V_2="32 L"$

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The temperature of 24 Iiters of a certain gas is 300 K. If we change the temperature to 400 K, what is the new volume of the gas?

1 Answer

Explanation:

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