# Two cubic meters of a gas at 30 degrees Kelvin are heated at a constant pressure until the volume doubles. What is the final temperature of the gas?

Jan 25, 2016

The final temperature is 60 K.

#### Explanation:

This is an example of Charles' law, which states that the volume of a given amount of gas held at constant pressure varies directly with the temperature in Kelvins. The equation to use is ${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$.

Given
${V}_{1} = {\text{2 m}}^{3}$
${T}_{1} = \text{30 K}$
${V}_{2} = {\text{4 m}}^{3}$

Unknown
${T}_{2}$

Solution
Rearrange the equation to isolate ${T}_{2}$, substitute the given values into the equation, and solve.

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

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

T_2=(30"K"xx4cancel"m"^3)/(2cancel"m"^3)="60 K"