Solveeit Logo

Question

Question: The volume of an ideal gas is 1 litre and its pressure is equal to 72cm of mercury column. The volum...

The volume of an ideal gas is 1 litre and its pressure is equal to 72cm of mercury column. The volume of gas is made 900 cm3 by compressing it isothermally. The stress of the gas will be

A

8 cm (mercury)

B

7 cm (mercury)

C

6 cm (mercury)

D

4 cm (mercury)

Answer

8 cm (mercury)

Explanation

Solution

For isothermal process, P1V1=P2V2P_{1}V_{1} = P_{2}V_{2}

P2=P1V1V2=72×1000900P_{2} = \frac{P_{1}V_{1}}{V_{2}} = \frac{72 \times 1000}{900}=80 cm

Stress ΔP=P2P1=8072=8cm\Delta P = P_{2} - P_{1} = 80 - 72 = 8cm