One mole of an ideal monoatomic gas expands isothermally against constant external pressure of 1 atm from initial volume of 1L to a state where its final pressure becomes equal to external pressure. If initial temperature of gas is 300K then total entropy change of system in the above process is:
`[R=0.082L atm mol^(-1) K^(-1)-=8.3J mol^(-1) K^(-1)]`

Options

A. 0
B. Rin (24.6)
C. R In (2490)
D. `(3)/(2)` Rin (24.6)

Answer

B

Explanation

`(Delta S)_(T) = nRT ln. (v_(2))/(v_(1)) = nR ln. (P_(1))/(P_(2))` for an ideal gas, `PV = RT` Given `P_(1) xx 1 = R xx 300 " & " P_(2) = 1` atm