Determine the values of ?U?, ?H?, ?S?, ?A?, and ?G? for the following processes (in (c), (d), and (e), show that an absolute value of the entropy is required):?

a. The four processes in Problem 4.1?

b. The expansion of 1 mole of an ideal gas at the pressure P and the temperature T into a vacuum to double its volume?

c. The adiabatic expansion of 1 mole of an ideal gas from P ₁ , T ₁ to P ₂ , T ₂ ?

d. The expansion of 1 mole of an ideal gas at constant pressure from V ₁ , T ₁ to V ₂ , T ₂ ?

e. The expansion of 1 mole of an ideal gas at constant volume from P ₁ , T ₁ to P ₂ , T ₂

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4.1 A rigid container is divided into two compartments of equal volume by a parti- tion. One compartment contains 1 mole of ideal gas A at 1 atm, and the other contains 1 mole of ideal gas B at 1 atm. Calculate the increase in entropy which occurs when the partition between the two compartments is removed. If the first compartment had contained 2 moles of ideal gas A, what would have been the increase in entropy when the partition was removed? Calculate the correspond- ing increases in entropy in each of the preceding two situations if both compart- ments had contained ideal gas A. 4.1 A rigid container is divided into two compartments of equal volume by a parti- tion. One compartment contains 1 mole of ideal gas A at 1 atm, and the other contains 1 mole of ideal gas B at 1 atm. Calculate the increase in entropy which occurs when the partition between the two compartments is removed. If the first compartment had contained 2 moles of ideal gas A, what would have been the increase in entropy when the partition was removed? Calculate the correspond- ing increases in entropy in each of the preceding two situations if both compart- ments had contained ideal gas A.