The pressure and volume of a given mass of gas at a given temperature are P and V respectively. Keeping the temperature constant, the pressure is increased by 10% and the system is allowed to achieve a steady-state, then the pressure is decreased by 10% what cann be said about the final volume?

Options

A. less than V
B. more than V
C. equal to V
D. less than V for diatomic and more than V for monoatomic

Answer

B

Explanation

When pressure is increased by 10%
`P_(1)=P(1+10/100)=11/10P`
Then presser is decreased by 10%
`P_(2)=P_(1)(1-10/100)=9/10P_(1)`
`P_(2)=9/10(11/10P)=99/100P`
Then temperature is constant
`PV=P_(1)V_(1)=P_(2)V_(2)`
`PV=99/100PV_(2)`
`V_(2)=100/99V`