Question

The volume of a given mass of a gas with some pieces of marble in a container at 760 mm Hg pressure is 100mL. If the pressures is changed to 1000mm Hg, the new volume is 80 mL.Find the volume occupied by the marble pieces, the the temperature remains constant

Answer 1

Given:

Initial pressure of the gas, P1 = 760 mm Hg

Initial volume of the gas, V1 = 100 ml

Final pressure of the gas, P2 = 1000 mm Hg

New volume after the pressure change, V' = 80 ml

To Find:

The volume occupied by the marble pieces.

Calculation:

- For the gas, at constant temperature, we have:

P1V1 = P2V2

⇒ 760 × 100 = 1000 × V2

⇒ V2 = 76 ml

- The Volume of marble pieces = V'- V2

⇒ V = 80 - 76

⇒ V = 4 ml

- So, the volume occupied by the marble pieces is 4 ml.

Answer 2

760 100 1000 v2 v2 76 ml v 80 76 v 4ml