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One mole of an ideal monoatomic gas expa...

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)`]

A

0

B

R ln (24.6)

C

R ln (2490)

D

`(3)/(2)` R ln (24.6)

Text Solution

Verified by Experts

The correct Answer is:
B
`Delta S = nR ln [(V_(2))/(V_(1))] = R "ln " (P_(1))/(P_(2))`
`P_(1) = (1 xx R xx 300)/(1) = 24.6`
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