Solution Found!
Using Energy Concepts and the Ideal Gas Model One lb of
Chapter 3, Problem 142P(choose chapter or problem)
One lb of oxygen, \(\mathrm{O}_2\), undergoes a power cycle consisting of the following processes:
Process 1-2: Constant-volume from \(p_1=20 \mathrm{lbf} / \mathrm{in} .{ }^2, T_1=500^{\circ} \mathrm{R}\) to \(T_2=820^{\circ} \mathrm{R}\).
Process 2-3: Adiabatic expansion to \(v_3=1.432 v_2\).
Process 3-1: Constant-pressure compression to state 1.
Sketch the cycle on a p-v diagram. Assuming ideal gas behavior, determine
(a) the pressure at state 2 , in \(\mathrm{lbf} / \mathrm{in} .{ }^2\)
(b) the temperature at state 3 , in \({ }^{\circ} \mathrm{R}\).
(c) the heat transfer and work, each in Btu, for all processes.
(d) the thermal efficiency of the cycle.
Questions & Answers
QUESTION:
One lb of oxygen, \(\mathrm{O}_2\), undergoes a power cycle consisting of the following processes:
Process 1-2: Constant-volume from \(p_1=20 \mathrm{lbf} / \mathrm{in} .{ }^2, T_1=500^{\circ} \mathrm{R}\) to \(T_2=820^{\circ} \mathrm{R}\).
Process 2-3: Adiabatic expansion to \(v_3=1.432 v_2\).
Process 3-1: Constant-pressure compression to state 1.
Sketch the cycle on a p-v diagram. Assuming ideal gas behavior, determine
(a) the pressure at state 2 , in \(\mathrm{lbf} / \mathrm{in} .{ }^2\)
(b) the temperature at state 3 , in \({ }^{\circ} \mathrm{R}\).
(c) the heat transfer and work, each in Btu, for all processes.
(d) the thermal efficiency of the cycle.
ANSWER:Step 1 of 6
(a) we have to calculate the pressure at state 2.
(b)we require to calculate the temperature at state 3.
(c)We need to calculate the heat transfer and work for all processes.
(d)Finally we have calculate the thermal efficiency of the cycle.