In a Carnot engine,as the gas absorbs heat energy from the source,the temperature of the source

An ideal gas heat engine operates in a Carnot cycle between $227\,^{\circ}C$ and $127\,^{\circ}C$. It absorbs $6.0 \times 10^4\,cal$ at the higher temperature. The amount of heat converted into work is equal to

Two Carnot engines $A$ and $B$ are operated in series. The first one,$A,$ receives heat at $T_1 = 600 \, K$ and rejects heat to a reservoir at temperature $T_2.$ The second engine $B$ receives the heat rejected by the first engine and,in turn,rejects heat to a reservoir at $T_3 = 400 \, K.$ Calculate the temperature $T_2$ if the work outputs of the two engines are equal. (in $K$)

For a Carnot engine,the efficiency is given by $W/Q_1 = 1/6$. If the temperature of the sink is reduced by $62^{\circ}C$,the efficiency doubles. The initial temperatures of the sink and the source are,respectively:

For which combination of working temperatures is the efficiency of a Carnot engine the highest?

$A$ reversible engine and an irreversible engine are working between the same temperatures. The efficiency of the ...........