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The difference between C_{p} \; and \; C_{v} can be derived using the empirical relation H = U + pV. Calculate the difference between C_{p} \; and \; C_{v} for 10 moles of an ideal gas.

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In case of an ideal gas, the difference between C_{p}\; and \; C_{v}  is nR, where where n represents the number of moles and R is the universal gas constant.

Therefore, for 10 moles of an ideal gas- 

C_{p} - C_{v}= 10\; R

C_{p} - C_{v}= 10 \times 4.18\; J

= 41.84 J 

 

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