Question

Cp-cv = R, why cp>cv

Answer 1

Because when calculate the energy of Cp we calculate it at pressure constant but so some energy will come but when we calculate energy of Cv we calculate it at constant volume and here at constant volume the workdone becomes 0 ( as it is PdV ) so here energy becomes smaller than Cp energy.....


So. Cp>Cv

Thanks

Answer 2

$\huge\mathbb\pink{ANSWER}$

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.So more energy required to increase the temperature of system.

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 .Whole energy is used to increase the temperature of a system.

Result

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So we get that Cp > Cv

$\boxed{Hope\:it\:helps\:you}$