Question

A gas occupies 2.5 L at 750 mm Hg pressure and 25℃. At the same temperature and 500 mm Hg pressure the volume will become

Answer 1

Given:

Initial Volume occupied by the gas, V1 = 2.5 L

Initial Pressure of the gas, P1 = 750 mm Hg

Final Pressure of the gas, P2 = 500 mm Hg

Constant temperature = 25℃

To Find:

Final Volume occupied by the gas, i.e., V2

Calculations:

- As the temperature is constant, we can use Boyle's law.

- Hence applying Boyle's Law to the given condition :

P1 × V1 = P2 × V2

⇒ V2 = P1 ×V1 / P2

⇒ V2 = 750 × 2.5 / 500

⇒ V2 = 3.75 L

- So, the final volume occupied by the gas will be 3.75 L.