Find the missing parameters.
`{:(P=1atm,P=1 atm,P=1 atm),(V_(1)=0.3 dm^(3),V_(2)=?,V_(3)=0.15 dm^(3)),(T_(1)=200 K,T_(2)=300 K, T_(3)= ? K):}`

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 T_(1),T_(2),T_(3) "and" T_(4)

Examine the following plots and predict whether in (i) P_(1) lt P_(2) "and" T_(1) gt T_(2) , in (ii) T_(1) = T_(2)ltT_(3) , in (iii) V_(1) gt V_(2), "in" (iv) P_(1) gt P_(2) "or" P_(2) gt P_(1)

Examine the following plots and predict whether in (i) P_(1) lt P_(2) "and" T_(1) gt T_(2) , in (ii) T_(1) = T_(2)ltT_(3) , in (iii) V_(1) gt V_(2), "in" (iv) P_(1) gt P_(2) "or" P_(2) gt P_(1)

Examine the following plots and predict whether in (i) P_(1) lt P_(2) "and" T_(1) gt T_(2) , in (ii) T_(1) = T_(2)ltT_(3) , in (iii) V_(1) gt V_(2), "in" (iv) P_(1) gt P_(2) "or" P_(2) gt P_(1)

For an ideal gas, an illustration of the different paths, A (B + C) and (D + E) from an intial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2), T_(1) as shown in the given figure. Path (A) represents a reversible isothernal expanison from P_(1)V_(1) to P_(2)V_(2) . Path (B + C) represents a reversible adiabatic expansion (B) from P_(1), V_(1), T_(1) to P_(3), V_(2), T_(2) followed by reversible heating the gas at constant volume (C) from P_(3), V_(2), T_(2) to P_(2), V_(2) T_(1) to P_(1) , V_(2), T_(3) followed by reversible cooling at a constant volume V_(2) (E) from P_(1), V_(2), T_(3) to P_(2), V_(2), T_(1) What is Delta S for path (D + E) ?

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is q_(rev) , for path (D+E) ?

For an ideal gas, an illustratio of three different paths A(B+C) and (D+E) from an initial state P_(1), V_(1), T_(1) to a final state P_(2), V_(2),T_(1) is shown in the given figure. Path A represents a reversible isothermal expansion form P_(1),V_(1) to P_(2),V_(2) , Path (B+C) represents a reversible adiabatic expansion (B) from P_(1),V_(1),T_(1)to P_(3),V_(2),T_(2) followed by reversible heating the gas at constant volume (C) from P_(3),V_(2),T_(2) to P_(2),V_(2),T_(1) . Path (D+E) represents a reversible expansion at constant pressure P_(1)(D) from P_(1),V_(1),T_(1) to P_(1),V_(2),T_(3) followed by a reversible cooling at constant volume V_(2)(E) from P_(1),V_(2),T_(3) to P_(2),V_(2),T_(1) . What is q_(rev) , for path (A) ?