A gas is described by the fundamental relation AS3 nV where A const. U = Find...

  

 

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A gas is described by the fundamental relation AS3 nV where A const. U = Find the equation of state p(T, V, n). Answer: p = nT3 V 27 AV 2. A gas fulfills the van der Waals equation of state: RT p(T, v) = V b where a, b, and R are positive constants, and v = V /n. Demonstrate that the specific heat cy of this gas does not depend on volume V. 3. Evaluate cp-cv for a gas fulfilling the Clapeyron equation of state p =nRT/V. 4. The internal energy of a certain one-component gas involving n = 2 moles fulfills the equation U = ApV², where A is a known constant. Find U(p, V, n) for any n. Answer: U(p, V, n) = 2ApV²/n A gas is described by the fundamental relation AS3 nV where A const. U = Find the equation of state p(T, V, n). Answer: p = nT3 V 27 AV 2. A gas fulfills the van der Waals equation of state: RT p(T, v) = V b where a, b, and R are positive constants, and v = V /n. Demonstrate that the specific heat cy of this gas does not depend on volume V. 3. Evaluate cp-cv for a gas fulfilling the Clapeyron equation of state p =nRT/V. 4. The internal energy of a certain one-component gas involving n = 2 moles fulfills the equation U = ApV², where A is a known constant. Find U(p, V, n) for any n. Answer: U(p, V, n) = 2ApV²/n

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