Question

Two samples A and B of a gas initially of the same temperature and pressure are compressed from a volume V to a volume such that A is compressed isothermally and B adiabatically. The final pressure of –

• A. A is greater than that of B
• B. A is equal to that of B
• C. A is less than that of B
• D. A is twice the pressure of B.

Answer 1

Answer: (A)

A is greater than that of B

Answer 2

Isothermal & Adiabatic

For A for B

\ $\mathrm { P } \propto \frac { 1 } { \mathrm {~V} }$ $\mathrm { P } \propto \frac { 1 } { \mathrm {~V} ^ { \gamma } }$

\ $\mathrm { P } _ { \mathrm { B } } > \mathrm { P } _ { \mathrm { A } }$ or $\mathrm { P } _ { \mathrm { A } } > \mathrm { P } _ { \mathrm { B } }$