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 `DeltaE` for the paths
`(i) 2 rarr 2 " " (ii) 2 rarr 3" "(iii) 3rarr 4 " " (iv) 4 rarr 1`
The heal engine depicted in this problem is a 'camot heat engine' and the themodynamic cycleof operations of this engine is known as a 'camot cycle' named after Saudi camot , an engine cum thermodynamist . The efficiency of a camot engine as `(1-T_(1)//T_(2))` where `T_(1)` and `T_(2)` are the temperature of the sink and the source.

Answer

`(i) ` For path `1 -> 2: DeltaE_("int") , 12 = 3.74 KJ`
(ii) For path 2 rarr 3 : DeltE_("int") 23 = 7.5 KJ`
(iii) For path `3 rarr 4 : DeltaE_("int") ,34 =- 7.48 KJ`
(iv) For path `4 rarr 1 : DeltaE_(int), 41 =- 3.75 KJ`
The heat engine depicted in this problem is a 'carnot heat engine' and the thermodynamic cycle of operations of this engine is known as a 'carnot cycle' named ager Saudi Carnot, ab engine cum thermodynamist . the efficiency of a carnot engine is defined as `(1-T_(1)//T_(2))` where `T_(1)`and `T_(2)` are the temperature of the sink and the source.