Question

prove that Cp is greater than Cv ?​

Answer 1

• At constant volume (Cv), the work done will be 0. so the whole of heat supplied is used in increasing the temperature.

• At constant pressure (Cp), part of heat supplied is used by the system in doing work.

• More heat is needed to increase the temperature by a given amount.

For derivation :-

By using the 'First law of thermodynamics'

Constant Pressure

dQ=dU+P.dV _____(1)

At Constant Volume,

dQ=dU+P.dV  

Since dV=0

Therefore dQ=dv________(2).

Cp=dU+P.dV

And Cv=dU

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Answer 2

Answer

At constant volume (Cv), the work done will be 0. so the whole of heat supplied is used in increasing the temperature.

At constant pressure (Cp), part of heat supplied is used by the system in doing work.

More heat is needed to increase the temperature by a given amount.

For derivation :-

By using the 'First law of thermodynamics'

Constant Pressure

dQ=dU+P.dV _____(1)

At Constant Volume,

dQ=dU+P.dV  

Since dV=0

Therefore dQ=dv________(2).

Cp=dU+P.dV

And Cv=dU

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