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Heat Capacity at Constant Volume

For a certain...

Question

For a certain gas the heat capacity at constant pressure is greater than that at constant volume by $29.1 J / K$ . If the gas is monoatomic, what are heat capacities at constant volume and pressure?

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Solution

Since, in the given case,

$C_{P} - C_{V} = 29.1 J / K$

Also, $\frac{C_{P}}{C_{V}} = γ = \frac{5}{3}$

Solving the two, $C_{V} = 43.65 J / K$ and $C_{P} = 72.75 J / K$

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