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a) Draw a P-V diagram for the above processes. Clearly label the axes with relevant values and draw arrows indicating the direction of the cycle. b) How much energy does the hot reservoir supply to the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is supplied to the gas. c) How much energy does the cold reservoir take from the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is taken from the gas.

a) Draw a P-V diagram for the above processes. Clearly label the axes with relevant values and draw arrows indicating the direction of the cycle. b) How much energy does the hot reservoir supply to the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is supplied to the gas. c) How much energy does the cold reservoir take from the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is taken from the gas.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Q2) Heat Engine – A piston contains 250 moles of an ideal monatomic gas that initially has a pressure of 6.00 × 10 Pa and a volume of 1.0 m³. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir. Č, = 12.47 J/K/mole and C, = 20.79 J/K/mole for a monatomic ideal gas. Step 1: Volume increased to 5.0 m²; constant pressure Step 2: Pressure decreased to 1.2 × 10³ Pa; constant volume Step 3: Volume decreased to 1.0 m³; constant temperature P a) Draw a P-V diagram for the above processes. Clearly label the axes with relevant values and draw arrows indicating the direction of the cycle. b) How much energy does the hot reservoir supply to the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is supplied to the gas. V c) How much energy does the cold reservoir take from the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is taken from the gas. d) How much work is done by the gas during this process? e) What is the efficiency of this heat engine? (Did you know it was a heat engine? How could you tell?) f) How does this heat engine's actual efficiency compare to the Carnot efficiency? Assume the cold reservoir has a temperature of 120 K and the hot reservoir has a temperature of 1600 K.
Transcribed Image Text:Q2) Heat Engine – A piston contains 250 moles of an ideal monatomic gas that initially has a pressure of 6.00 × 10 Pa and a volume of 1.0 m³. The piston is connected to a hot and cold reservoir and the gas goes through the following quasi-static cycle accepting energy from the hot reservoir and exhausting energy into the cold reservoir. Č, = 12.47 J/K/mole and C, = 20.79 J/K/mole for a monatomic ideal gas. Step 1: Volume increased to 5.0 m²; constant pressure Step 2: Pressure decreased to 1.2 × 10³ Pa; constant volume Step 3: Volume decreased to 1.0 m³; constant temperature P a) Draw a P-V diagram for the above processes. Clearly label the axes with relevant values and draw arrows indicating the direction of the cycle. b) How much energy does the hot reservoir supply to the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is supplied to the gas. V c) How much energy does the cold reservoir take from the gas during the above processes? Hint: you'll first want to think about for which processes heat energy is taken from the gas. d) How much work is done by the gas during this process? e) What is the efficiency of this heat engine? (Did you know it was a heat engine? How could you tell?) f) How does this heat engine's actual efficiency compare to the Carnot efficiency? Assume the cold reservoir has a temperature of 120 K and the hot reservoir has a temperature of 1600 K.
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