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Heat Capacity

For 2 mole ...

Question

For $2$ mole of an ideal gas; the relation between $C_{p}$ & $C_{v}$ (non-molar) are :

A

C_{p} - C_{v} = 2 R

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B

C_{v} - C_{p} = 2 R

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C

C_{p} - C_{v} = R

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D

C_{v} - C_{p} = R

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Solution

The correct option is A $C_{p} - C_{v} = 2 R$
The relationship between $C_{p}$ and $C_{v}$ for n moles is $C_{p} - C_{v} = n R$
So for 2 moles the relationship between $C_{p}$ and $C_{v}$ is $C_{p} - C_{v} = 2 R$

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