Carnot Cycle

Assertion : The Carnot cycle is useful in understanding the performance of heat engines. Reason : The Carnot cycle provides a way of deteriming the maximum possible efficiency achievable with reservoirs of given temperatures.

Hydrogen is used in a Carnot cycle as a working substance. Find the efficiency of the cycle, if as a result of an adiabatic expansion (a) the gas volume increases n = 2.0 times , (b) the pressure decreases n = 2.0 times.

A certain engine which operates in a Carnot cycle absorbe 3.0 kJ at 400^(@)C in a cycle. If it rejects heat at 100^(@)C , how much work is done on the engine per cycle and how much heat is evolved at 100^(@)C in each cycle?

Making use of the Carnot theorem, show that in the same of physically uniform substance whose state is defined by the parameters T and V (del U//delV)_T = T(del p//del T)_v - p where U(T, V) is the internal energy of the substance. Consider the infinitesmal Carnot cycle in the variables p, V .