Question

Two samples of gas A and B, initially at same temperature and pressure, are compressed to half their initial volume, A isothermally and B adiabatically. The final pressure in :

• A. A and B will be same
• B. A will be more than in B
• C. A will be less than in B
• D. A will be double that in B

Answer 1

The correct option is B A will be more than in B

For adiabatic process we have $P\times V^{\gamma }$ constant.
And for a isothermal process $P\times V$ is constant. Adiabatic process has more slope than the isothermal process. Therefore for same volume change final pressure in adiabatic process will be less than isothermal process.