# 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?

May 10, 2016

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 ${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$.

Given
${V}_{1} = \text{24 L}$
${T}_{1} = \text{300 K}$
${T}_{2} = \text{400 K}$

Unknown
${V}_{2}$

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

${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$

${V}_{2} = \frac{{V}_{1} {T}_{2}}{T} _ 1$

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

${V}_{2} = \text{32 L}$