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Calculate the work invoved when when 1 m...

Calculate the work invoved when when 1 mol of an ideal gas is compressed reversibly from `1.00` bar to `5.00` at a constant temperature of `300K` .

A

`-14.01KJ`

B

`+18.02KJ`

C

`4.01KJ`

D

`-8.02KJ`

Text Solution

Verified by Experts

The correct Answer is:
C

`w=-2.0303nRT` log `(P_(1))/(P_(2))`
so, `w=-2.303xx1xx8.314xx300` log `(1)/(5)`
`=-2.303xx8.314xx300` (log `1-log5`)
`=-5744.14xx(0-0.6990)`
`=4015.15J`
`=4.01KJ`
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