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
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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.
Transcribed Image Text: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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