# A container with a volume of #14 L# contains a gas with a temperature of #140^o K#. If the temperature of the gas changes to #80 ^o K# without any change in pressure, what must the container's new volume be?

##### 1 Answer

Dec 21, 2016

Assuming the container's volume is the same as and changes with that of the gas

New volume of container = 8 L

#### Explanation:

When dealing with changes in volume and absolute temperature with constant pressure, we should refer to **Charles law.**

Charles law states that at constant pressure, an ideal gas' volume is directly proportional to its temperature. This directly proportional relationship between volume and temperature can be written as:

V1 = Inital volume of gas

T1 = Initial temp of gas (K)

V2 = Final volume of gas

T1 = Final temp of gas (K)

Using the formula in application to your question,

V1 = 14L

T1 = 140K

V2=?

T2 = 80K

The final/new volume of gas and container is 8L