A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure?

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A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure?

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Answer 1 · 2017-04-03T15:09:16

400 Kelvin (K).

Explanation:

We are given the initial volume and initial temperature (in Kelvins, so no need to convert from Celsius to Kelvin). We are also given the final volume.

In short, we have:

$V_{1}$ $V_1$ : 5.00 L
$T_{1}$ $T_1$ : 100 K

$V_{2}$ $V_2$ : 20.0 L
$T_{2}$ $T_2$ : ?

If you know your gas laws, use Charles' Law to help you solve this problem.

Charles' Law:

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

We have 3 of the 4 variables, and if we fill those in, we have...

$\frac{5.00}{100}$ $5.00/100$ = $\frac{20.0}{T_{2}}$ $20.0/T_2$

Using the algebra skill of cross multiplying, we can get...

5.00 $T_{2}$ $T_2$ =2000

Dividing both sides by 5.00 to isolate the $T_{2}$ $T_2$ , we get...

$T_{2}$ $T_2$ = 400. K

It is 400. due to the significant figure rule.

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A container containing 5.00 L of a gas is collected at 100 K and then allowed to expand to 20.0 L. What must the new temperature be in order to maintain the same pressure?

1 Answer

Explanation:

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