For stopped irreversible expansion of 1.0 mole of ideal monatomic gas in an adiabatic frictionless piston-cylinder with the surroundings acting as a mechanical reservoir (i.e., psurr = constant): a) Derive the expression for the change in system entropy for this process. b) For psurr = 0.1 atm, plot the change in system entropy vs. stopping volume V2 in 0.1 L increments for a starting state of the system as p = 10 atm, V1 = 1.0 L. Plot up to a V2 value of 2 L. Use Matlab, Excel or similar plotting software for your plot.

For stopped irreversible expansion of 1.0 mole of ideal monatomic gas in an adiabatic frictionless piston-cylinder with the surroundings acting as a mechanical reservoir (i.e., psurr = constant): a) Derive the expression for the change in system entropy for this process. b) For psurr = 0.1 atm, plot the change in system entropy vs. stopping volume V2 in 0.1 L increments for a starting state of the system as p = 10 atm, V1 = 1.0 L. Plot up to a V2 value of 2 L. Use Matlab, Excel or similar plotting software for your plot.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.

Question

Problem #3
For stopped irreversible expansion of 1.0 mole of ideal monatomic gas in an adiabatic frictionless
piston-cylinder with the surroundings acting as a mechanical reservoir (i.e., psurr =
constant):
a) Derive the expression for the change in system entropy for this process.
b) For psurr = 0.1 atm, plot the change in system entropy vs. stopping volume V2 in 0.1 L
increments for a starting state of the system as p
value of 2 L. Use Matlab, Excel or similar plotting software for your plot.
10 atm, V, = 1.0 L. Plot up to a V2
%3D
Hints: We're stopping at a designated V2, but we don't know p2 or T2. Use the fact that U is a
state function to derive T2 as a function of V2:
(AUsys) rev path
(AUsys) irr path
(AU sys) irr path
-PsurrAV
||
(AUsys) rev path
= (AUsys) isothermal
+ (AUsys),
= 0 + CyAT
constant V
Since S is also a state function, you can similarly combine a reversible isothermal path and a
constant volume path to find ASsys for our actual process.

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