1.

A volume of `10m^(3)` of a liquid is supplied with `100 kal` of heat and expands at a constant pressure of `10 atm` to a final volume of `10.2m^(3)`. Calculate the work done and change in internal energy.

Answer» Correct Answer - `48 Kcal. 52 Kcal`.
Here, `V_(1)= 10m^(3), dQ=100 Kcal = 10^(5)cal.`
`P= 10 atm = 10^(6)N//m^(2)`
`V_(2)= 10.2 m^(3), U=?, dW=?`
`dW=pdV=(10xx10^(5))(10.2-10)= 2xx10^(5)J`
`= (2xx10^(5))/(4186)Kcal= 48 Kcal`
From first law of thermodynamics,
`dU=dQ-dW= 100-48= 52 Kcal`


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