Code Thermodynamics btech 3rd semester question to get results , plot graph if needed

A gas filled in a piston cylinder device, expands from 400 kPa and 0.05 m3
to a final volume of 0.2 m3
.
If the gas stisfies PVn=C, n and C are constants (take n=1.5), calculate the work done by the system.
Now, vary the value of n from 1.1 to 1.7, and plot the work versus polytropic exponent.

回答(1 个)

p = 400*1e3;
v1 = 0.05;
v2 = 0.2;
n = 1.1:0.01:1.7;
W = (n./(n-1))*p*(v2-v1)
W = 1×61
1.0e+05 * 6.6000 6.0545 5.6000 5.2154 4.8857 4.6000 4.3500 4.1294 3.9333 3.7579 3.6000 3.4571 3.3273 3.2087 3.1000 3.0000 2.9077 2.8222 2.7429 2.6690 2.6000 2.5355 2.4750 2.4182 2.3647 2.3143 2.2667 2.2216 2.1789 2.1385
plot(n,W); xlabel('polytropic exponent [n]');ylabel('Work done')
W = @(n,p) (n./(n-1)).*p.*(v2-v1)
W = function_handle with value:
@(n,p)(n./(n-1)).*p.*(v2-v1)
figure
fsurf(W,[1.1 1.7 100*1e3 400*1e3])
view(10,15)
axis square; zlabel('Work done')

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2023-1-2

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