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Using Energy Concepts and the Ideal Gas ModelA system
Chapter 3, Problem 143P(choose chapter or problem)
A system consists of \(2 \mathrm{~kg}\) of carbon dioxide gas initially at state 1 , where \(p_1=1 \mathrm{bar}, T_1=300 \mathrm{~K}\). The system undergoes a power cycle consisting of the following processes:
Process 1-2: Constant volume to \(p_2, p_2>p_1\)
Process 2-3: Expansion with \(p v^{1.28}=\) constant
Process 3-1: Constant-pressure compression
Assuming the ideal gas model and neglecting kinetic and potential energy effects,
(a) sketch the cycle on a p-v diagram.
(b) plot the thermal efficiency versus \(p_2 / p_1\) ranging from 1.05 to 4.
Questions & Answers
QUESTION:
A system consists of \(2 \mathrm{~kg}\) of carbon dioxide gas initially at state 1 , where \(p_1=1 \mathrm{bar}, T_1=300 \mathrm{~K}\). The system undergoes a power cycle consisting of the following processes:
Process 1-2: Constant volume to \(p_2, p_2>p_1\)
Process 2-3: Expansion with \(p v^{1.28}=\) constant
Process 3-1: Constant-pressure compression
Assuming the ideal gas model and neglecting kinetic and potential energy effects,
(a) sketch the cycle on a p-v diagram.
(b) plot the thermal efficiency versus \(p_2 / p_1\) ranging from 1.05 to 4.
ANSWER:Step 1 of 20
(a)
Draw the Pressure-volume diagram as shown below:
