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Calculate the work done when 1.0 mole wa...

Calculate the work done when 1.0 mole water at 373K vaporizes against an atmospheric pressure of 1.0 atmosphere. Assume ideal gas behaviour.

Text Solution

Verified by Experts

`Delta V =` Volume occupied by one mole water vapour - volume of one mole of water.
Here, the volume occupied by water is very small and thus, `Delta V` is equal to the volume occupied by one mole of water vapour.
i.e., `Delta V=` Volume occupied by one mole water vapour `=(nRT)/(P)`.
`Delta V=(1.0xx0.0821xx373)/(1.0)=-30.623` litre.
`therefore W=-P Delta V=-1xx30.623 =-30.623` atm. litre
`W=-30.623xx101.3 J=-3102.14 J`.
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