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A heating coil is immersed in a 100 g s...

A heating coil is immersed in a 100 g sample of `H_(2)O` (l) at a 1 atm and `100^(@)` C in a closed vessel. In this heating process , `60%` of the liquid is converted to the gaseous form at constant pressure of 1 atm . The densities of liquid and gas under these conditions are 1000 `kg//m^(3)` and 0.60 `kg//m^(3)` respectively . Magnitude of the work done forthe process is :
(Take : 1L-atm= 100J)`

A

4997J

B

4970J

C

9994 J

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C

`w=-P_(ext)(V_(f)-V_(i))`
`=-10^(5)((60xx10^(-3))/(0.60)+(40xx10^(-3))/(1000)-(100xx10^(-3))/(1000))`
`=-10^(5)(100xx10^(-3)+0.04xx10^(-3)-0.1xx10^(-3))`
`|w|=9994J`
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