+2 votes
in JEE by kratos

Explain the two specific heats of gas? Show that the difference between two specific heats is equal to the Universal gas constant.

1 Answer

+2 votes
by kratos
 
Best answer

Apply first law of thermodynamics.

Heat added = increase in internal energy + external work done by the system

∴ dQ = du+dw

Specific heats of gases are expressed as molar specific heats which are constant pressure Cp and constant volume Cv.

From enthalpy, H = u + Pv

Relationship between specific heats for ideal gases

be written as H = u + Pv

dh = du + d(RT)

Cpdt = Cvdt + Rdt

Cp = Cv + R or R = Cp - Cv

where R is gas constant

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