Question

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?

Answer 1

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="2 m"^3`
`T_1="30 K"`
`V_2="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=(T_1V_2)/V_1`

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