9) (15 points) The internal energy U of a gas can be expressed in the form U=f(p,V,T) with variables defined by: p is the pressure, V is the volume, and T is the temperature. For an ideal gas, PV = nRT where the number of moles n and R (gas-specific) are constants. a) (3 points) Write the differential form du for the internal energy. b) (5 points) Assuming the volume V is held constant, find an expression for the heat capacity cv where c₁ = au. др

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