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One mole of O(2) gas having a volume equ...

One mole of `O_(2)` gas having a volume equal to 22.4 litres at `0^(@)C` and 1 atmospheric pressure is compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is

A

1672.5 J

B

1728 J

C

-1728J

D

-1572.5 J

Text Solution

Verified by Experts

The correct Answer is:
D
For isothermal compression
`W= - n RT In (V_2)/(V_1)`
`= -1 xx 8.31xx(273+0)log((22.4)/(11.2))`
`=1xx8.31xx273xx0.693 implies W = -1572.5 J`
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