1. In Sec. 7.4, suppose that engine I executes an irreversible cycle, and assume that η 1 =…

1. In Sec. 7.4, suppose that engine I executes an irreversible cycle, and assume that η1 = ηR· Show that this assumption leads to a result that is inconsistent with the irreversibility of I, and, therefore, that η1 R.

2. Take a gas whose equation of state is P( v – b) = Rθ and whose heat capacity Cv is a function of θ only through a Carnot cycle, and prove that () == T.

 

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