Question

why Cp is greater than Cv ?

Answer 1

$\huge\mathbb\red{ANSWER}$

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

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

Answer 2

$\huge\mathfrak\blue{hello}$

Cp(specific heat at constant pressure) 

Cv(specific heat at constant volume) 

When a gas is heated at constant volume,no external work is done and so the heat supplied is consumed only in increasing the internal energy of a gas. 

But if the gas is heated at constant pressure , the gas expands against the external pressure so does some external work.In this case the supplied heat is used up in increasing the internal energy of the gas and in doing some external work . 

Since the internal energy is depends only on temperature,for the same rise of temperature the internal energy of a mass of a gas will increase by the same amount whether the pressure or volume remains constant.But since external work is additionally done for constant pressure than at constant volume to produce the same rise in temperature of the gas. 

Hope that helps :)