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6。C. designates the heat capacity measured at constant volume. We could imagine measuring the heat capacity of some material at two different fixed volumes. We wouldnt necessarily get the same answer and thus C, can itself be a fiunction of volume. It tuns out that if we know C at one volume we dont need to measure it at another volume if we know the equation of state Show that: ac You will need to make use of the definition of C,. the equality of mixedsecondpartial derivatives, andthe expression for ( ),that we de

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