Why is the line on a P-V diagram for compression not linear?

Question

The relationship, PV = nRT, for constant temperature, would indicate a linear relationship during compression. However, my foreign professor is unable to explain to me why he is teaching me that the line is not linear in a P-V diagram.

Answer 1

PV=nRT;For constant temperature, Let nRT=k
Therefore; PV=k, P=k/V
This relationship is like , f(x)=k/x which when graphed looks similar to y=1/x which is non linear.
P and V are linear to n, and T, but not to each other.

Answer 2

artwork completed isn't 0 for the whole cycle interior the backside diagrams. that's 0 for any technique it rather is represented via vertical line drawn on PV diagram because of the fact then substitute in quantity is 0 and there is not any displacement. you are able to comprehend artwork completed is the section below the graph from V1 to V2 the two ends of the approach. here the two ends tournament subsequently additionally section is 0 so artwork completed is 0.

Answer 3

Besides the y = 1 / x hyperbolic curve thing explained above, the other thing to consider is that formula applies to ideal gasses, only. Other than a few types of 'close to ideal' gasses (Helium, for one), most gasses are not ideal, so they don't even follow the 1 / x hyperbolic.

But the majority of your question is still answered by the 1 / x hyperbolic answer.

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Answer 4

P v = aconstant, is rectangular hyper parabola

Y= k/x, an inverse relatiovn . similararly P = n RT/ v