Consider an ideal gas (pv = RT ) and address the following. Your answers may contain p, v, T, cp, R. a) Find the relationship describing how the enthalpy varies with pressure at a constant temperature, i.e., determine the functional form of (∂h/∂p)T b) Find a relationship for how the entropy varies with pressure at a constant temperature, i.e., (∂s/∂p)T  For the next two parts, now consider a gas that is described by the following truncated virial equation-of-state: Z = (pv/RT) = 1 + B′p + C′p2 where B′ and C′ and constant, temperature-independent parameters. Address the following. Your answers may contain p, v, T, cp, B′, C′.   c) Find a relationship for (∂h/∂p)T d) Find a relationship for (∂s/∂p)T

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.