A heat engine is a system that converts heat into mechanical work. A heat "source" generates thermal energy that brings a working substance to a high temperature. The working substance then generates work in the engine while transferring heat to a sink at a lower temperature . The working of a heat engine is shownn figure 1.
Heat engines can be modelled using themodynamic cycles. The heat engine given in Figure -2 is of a working substance which is 1.00 mol of a monoatomic ideal gas . The thermodynamic cycle begins at the point designated as '1' and goes clockwise and the values of P and l or V at each point is as given below Fig-2 `(P_(1)=1.00 atm "and" V_(1) = 24.6 L , P_(2)=2.00 atm , V_(3) =49.2L, P_(4)=1.00 atm)`
Calculate the efficiency of the cycle given in figure 2.
Another system completes a cycle consistings of six quasi-static steps, during which the total work done by the system is 100J During step 1 the system absorbs 300J of heat form a reservior at 300K , during step 3 the system absorbs 200J of heat from a reservior at 400K, and during step5 it abosrbs heat from a reservior at temperature `T_(3)` steps 2,4,6 are adiabatic such that the temperature of one reservoir changes to that of next.

Answer

The efficiency of the cycle is given by : `~~ 15%`
Another system completes a cycle consisting of six quasi - static steps , during which the total work done by the systjme is 100J During step 1 the system absorbs 300 J of heat form a reservoir at 300K , during step 3 the system absorbs 200J of heat from a reservoir at 400 K, and during step 5 it absorbs heat from a reservior at temperature `T_(3)` Steps 2,3,6 are adiabatic such that the temperature of one reservoir changes to that of next.