Question

A sample of nitrogen gas occupies 2.49 L at 19.5°C. The volume of the container changes at constant pressure to 4.29 L. What temperature (in°C) must the gas be to attain this volume?

Answer 1

Answer : The final temperature of the gas must be
`33.596^oC`

Solution : Given,

Initial volume of gas = 2.49 L

Final volume of gas = 4.29 L

Initial temperature of gas =
`19.5^oC`

According to the Charles' law, the volume of gas is directly proportional to the temperature of the gas at constant pressure.

`V\propto T`

`(V_1)/(V_2)=(T_1)/(T_2)`

Now put all the given values in this formula, we get the final temperature of the gas.

`(2.49L)/(4.29L)=(19.5^oC)/(T_2)`

By rearranging the term, we get

`T_2==33.596^oC`

Therefore, the final temperature of the gas must be
`33.596^oC`