Thermodynamics : Joule Cycle
Not what you're looking for?
(Please see the attached file)
A Joule cycle consists of two adiabats and two isobars: 1--> 2 and 3 ---> 4 are adiabatic compression and expansion respectively; 2 ---> 3 and 4 ---> 1 are constant pressure expansion and compression respectively. Treat the working medium as an ideal gas with constant gamma = Cp/Cv. Note that all temperatures T1,T2,T3 and T4 and the volumes V1,V2,V3 and V4 are different.
a) Draw a P-V diagram illustrating the Joule Cycle.
b) What is the heat absorbed Q during the process 2 ---> 3?
c) Calculate the work done of a Joule cycle.
d) Compute the efficiency of this cycle in terms of gamma and pressure ratio P1/P2, where P1 is the pressure at state 1 and P2 is the pressure at state 2.
Purchase this Solution
Solution Summary
The expert examines the thermodynamics of Joule Cycles. The work done is determined.
Solution Preview
Please refer to the attachment.
a) PV diagram is drawn above. During 1-2, the gas is compressed from volume V1 to V2 (V2 < V1) adiabatically (no heat enters or leaves the system) with corresponding increase of pressure from P1 to P2.
During 2-3, the gas expands from volume V2 to V3 (V3 > V2) at constant pressure P2.
During 3-4, the gas expands from volume V3 to V4 (V4 > V3) adiabatically (no heat enters or leaves the system) with corresponding decrease of pressure from P2 to P1.
b) Heat entering the system during 2-3 = Q1 = nCp(T3 - T2) where n = no. of moles of the gas, Cp = specific heat at constant pressure
Vf
c) Work done in general is given by : W = ∫PdV where Vi & Vf are the initial and final
Vi
volumes. In case of an adiabatic change PVγ = Constant (K) or P = K/Vγ. Hence, work ...
Purchase this Solution
Free BrainMass Quizzes
The Moon
Test your knowledge of moon phases and movement.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.