A sample of gas in a balloon has an initial temperature of 18 ∘C and a volume of 33 L. If the temperature changes to 47 ∘C, and there is no change of pressure or amount of gas, what is the new volume, V2, of the gas?

The final volume of the sample of gas is 36.287 liters.

Explanation:

Let suppose that sample of gas is a closed system, that is, a system with no mass interactions with surroundings, and gas is represented by the equation of state for ideal gases, which is described below:

(1)

Where:

- Pressure, in atmospheres.

- Volume, in liters.

- Molar quantity, in moles.

- Temperature, in Kelvin.

- Ideal gas constant, in atmosphere-liters per mole-Kelvin.

As we know that sample of gas experiments an isobaric process, we can determine the final volume by the following relationship:

(2)

Where:

- Initial volume, in liters.

- Final volume, in liters.

- Initial temperature, in Kelvin.

- Final temperature, in Kelvin.

If we know that , and , then the final volume of the gas is:

The final volume of the sample of gas is 36.287 liters.

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