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
Jacob C.
Apr 3, 2017

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#: 5.00 L
#T_1#: 100 K

#V_2#: 20.0 L
#T_2#: ?

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

Charles' Law:

#V_1/T_1#=#V_2/T_2#

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

#5.00/100#=#20.0/T_2#

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

5.00#T_2#=2000

Dividing both sides by 5.00 to isolate the #T_2#, we get...

#T_2#= 400. K

It is 400. due to the significant figure rule.

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