Solution Found!
An ideal gas undergoes two processes in a pistoncylinder
Chapter 4, Problem 423(choose chapter or problem)
An ideal gas undergoes two processes in a pistoncylinder device as follows: 1-2 Polytropic compression from T1 and P1 with a polytropic exponent n and a compression ratio of r 5 V1/V2. 2-3 Constant pressure expansion at P3 5 P2 until V35V1. (a) Sketch the processes on a single P-V diagram. (b) Obtain an expression for the ratio of the compressionto-expansion work as a function of n and r. (c) Find the value of this ratio for values of n 5 1.4 and r 5 6.
Questions & Answers
QUESTION:
An ideal gas undergoes two processes in a pistoncylinder device as follows: 1-2 Polytropic compression from T1 and P1 with a polytropic exponent n and a compression ratio of r 5 V1/V2. 2-3 Constant pressure expansion at P3 5 P2 until V35V1. (a) Sketch the processes on a single P-V diagram. (b) Obtain an expression for the ratio of the compressionto-expansion work as a function of n and r. (c) Find the value of this ratio for values of n 5 1.4 and r 5 6.
ANSWER:Step 1 of 7
An ideal gas undergoes two processes in a piston-cylinder device. The process is to be sketched on a P-V diagram; an expression for the ratio of the compression to expansion work is to be obtained and this ratio is to be calculated for given values of n and r.
Assume that the process is quasi-equilibrium.