In this and the next question, you will analyze a heat engine whose cycle is given below. 2P 2 The segment 12 has constant volume, 23 is adiabatic, 34 has constant pressure and 41 is isothermal. The cycle runs clockwise as shown. You may assume that the working substance is one mole of ideal gas, with f quadratic degrees of freedom per atom. For each segment, determine in the table whether: heat is leaving or entering the system; work done on the system is positive or negative; the temperature increases or decreases. Segment Heat Work on the system Temperature '1 to 2 IN V NONE V increases V 2 to 3 NONE V IVE V decreases V 3 to 4 OUT V \"IVE V decreases V 4to1 OUT V *IVE V constant V (b) What point or points are at the maximum temperature TMAX? 2 (c) What point or points are at the minimum temperature TMIN? 4 and 1 v (d) Let TMAX be the highest temperature and TMIN be the lowest temperature along the cycle. Compute the ratio TMAX / TMIN. 2Continuing with the same cycle as the last question (reproduced below), assume that we have a system with f = 6 (note your answer for f may include some soft Vibrational degrees of freedom). 2P 2 (a) What is the pressure 103 in terms of 3)? P3 = P (b) What is the volume V4 in terms of V? (c) What is the temperature T3 in terms of T1? T3 2 T1 {d} What is the heat into the system (2212\