Complete Analysis of Heat Engine Goal Solve for the efciency of a heat engine using a five-step process the includes: . Making a state table. . Making a process table. . Calculating the totals for Work, Heat, and Internal-Energy-Change. . Identifying the heat input (hot reservoir) and output (cold reservoir). . Calculating the efficiency of the engine. Problem Shown in the figure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use 7.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 3.0. T, =300K P, : 100,000 Pa Engine Cycle Solution (1) Fill in the State Table {all pressures in Pascals, all Pressure Volume Temperature volumes in cubic meters, all temperatures in K). al H H | b| || || i ci H H | Work Heat dU _ _ , . a->b| H H ' (2) FIll In the Process Table {all entries In Joules). b->c| H H ' c->a| || ii i Work =:iJ (3) Find the Totals: Heat = :3 (4) Find the heat input (from I'hot reservoir") and Q-hot = Z] J the heat output (to "cold reservoir"): Qcold = Z] J (5) Find the efficiency of the engine: efciency = Z] % Complete Analysis of Heat Engine Goal Solve for the efciency of a heat engine using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energv-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. Calculating the efficiency of the engine. Problem Shown in the gure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use 7.0 moles of nitrogen gas (diatomic). During the process a>b, the pressure rises by a factor of 3.0. Ti 2300K Pa = 100,000 Pa Engine Cycle Solution {1) Fill in the State Table (all pressures in Pascals, all Pressure Volume Temperature volumes in cubic meters, all temperatures in K). a|100000 | x-/ |0_1?5 I V |300 | x-/ b 385 J 0.1?5 J 900 J c|1ooooo |..,-2 |o.525 IJ |900 |J Work Heat dU a- |o | |37297 | |a7297 | 'b v7 v7 .7 (2) Fill in the Process Table [all entries in Joules). b |575oo | |575oo | |0 | \"C v7 d J c- |o.35e5 | |l.22e5 | s.7e4 | '3 .-/ i/ .1 Work = J J {3) Find the Totals: Heat = J J {4) Find the heat input (from "hot reservoir") and Q'ht = 144797 t/ J the heat output (to "cold reservoir\"): {5) Find the efficiency of the engine: Qcold = 122000 x J efficiency = J %