Question

Why Cp is always greater than Cv??

Answer 1

The heat capacity at constant pressure CP is greater than the heat capacity at constant volume CV , because when heat is added atconstant pressure, the substance expands and work. QV = CV △T = △U + W = △U because no work is done.

Answer 2

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What is Cp and Cv ?

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☑Cp is the specific heat at constant pressure .

☑Cv is the specific heat at constant volume

Now ,

What is specific heat ?

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☑Amount of heat that required to raise the temperature by 1°C .

Why Cp is always greater than Cv?

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As Cp is amount of heat that required to raise the temperature by 1°C when heat is given at constant pressure.

So pressure is fixed in Cp but some work may be done . So heat may produce.

But ,

Cv is the amount of heat that required to raise the temperature by 1°C when heat is given at constant volume.

According to the equation

W = P∆V

if volume is constant then workdone is Zero . So no heat produced .

Result

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So we get that Cp > Cv

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