Complete Analysis of Heat Engine Goal Solve for the efficiency 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-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. 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 6.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 3.0. Solution P a T = 300 K P₁ = 100,000 Pa Engine Cycle isothermal (1) Fill in the State Table (all pressures in Pascals, all Pressure volumes in cubic meters, all temperatures in K). Volume Temperature 1.00e+3 0 300 33447.6 XXX 40200 1800 × 40200 0 Work Heat a- 0 74826 >b✓ (2) Fill in the Process Table (all entries in Joules). b- 49323 49323 <- 10 -74826 321017 du 74826 -74826 >a x Work = 49323 × J (3) Find the Totals: Heat = 49323 × J du = 10 ✔ J (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): Q-hot 124149 ✓ J Q-cold=74826 × (5) Find the efficiency of the engine: efficiency 39.7 × % V

Complete Analysis of Heat Engine Goal Solve for the efficiency 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-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. 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 6.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 3.0. Solution P a T = 300 K P₁ = 100,000 Pa Engine Cycle isothermal (1) Fill in the State Table (all pressures in Pascals, all Pressure volumes in cubic meters, all temperatures in K). Volume Temperature 1.00e+3 0 300 33447.6 XXX 40200 1800 × 40200 0 Work Heat a- 0 74826 >b✓ (2) Fill in the Process Table (all entries in Joules). b- 49323 49323 <- 10 -74826 321017 du 74826 -74826 >a x Work = 49323 × J (3) Find the Totals: Heat = 49323 × J du = 10 ✔ J (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): Q-hot 124149 ✓ J Q-cold=74826 × (5) Find the efficiency of the engine: efficiency 39.7 × % V

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 8CQ: A great deal of effort, time, and money has been spent in the quest for a so-called perpetual-motion...

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Complete Analysis of Heat Engine Goal Solve for the efficiency 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-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. 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 9.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 2.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): (5) Find the efficiency of the engine: a b C Pressure a->b b->c c->a Work Work Heat = dU = Q-hot = Q-cold = efficiency: P Volume Heat T₂…
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