A (frac{1}{3})-mol sample of an ideal gas is sealed in a container and heated from (273 mathrm{~K})

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A \(\frac{1}{3}\)-mol sample of an ideal gas is sealed in a container and heated from \(273 \mathrm{~K}\) to \(500 \mathrm{~K}\). For this gas, what is the value of \(C_{P}\) in units of \(k_{B}\) if the temperature increase causes an entropy change of \(1.8215 \times 10^{23}\) ?

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