Question

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?

Answer 1

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.