Hi Chestermiller, how about the analytical solution and approximation solution below for an adiabatic process?
Consider an adiabatic expansion with initial condition ##p(v_0)=p_0## undergo an infinitesimal small expansion from ##v_0## to ##v_0+h##
The analytical solution can be obtain from...
Hi Chestermiller thank for your feedback. That what i meant.
Just like solving a differential equation regarding draining of water in a cylindrical tank through a small hole at bottom of the tank.
We consider pressure of water at bottom of tank with water of height h as
p=##\rho gh##
and...
I verified with others the equation below is an Euler method as well with ##a## can be any value such that it give the same ##\frac{dE}{dv}=-1.4\frac{p}{v}## but with ##a## other than one, it have no meaning in physics. For anyone that already understand Euler method can omit the part i have...
I tried this question and this the answer given in the book.
A cylinder is close at both ends and has insulating walls. It is divided into two compartments by a perfectly insulating partition that is perpendicular to the axis of the cylinder. Each compartment contains 1.00 mol of oxygen, which...
Adiabatic derivation
Dear Mason,
Thank for your fast reply.
The reason i advoid using calculus is because i trying to break down thing part by part for my further understanding.
I been thinking as far as things are interrelated, maybe same result/answer can also be obtained by using...
adiabatic compression
Dear Mason,
Thank you for spending time for my post and answering my doubt.
After checking, the work done is always defined by -∫Pdv or work done=-P(Vf-Vi)
Vf=final volume and Vi=initial volume
Thank for pointing out my mistake
Consider a diatomic gas with...
Adiabatic compression concept
For the derivation of pv gamma using PV=nRT, i do know how to get it. However, i would like to try other concept to get it as well.
Sorry for my poor explanation.
At the moment, I would like to understand the below question to know whether i on the right track...
The derivation
Please refer attachment it seem using this method, it able to change instaneneous equation to continuois equation.
Equation A
5/2P1V1-P2(dv)=5/2(P2)(V1+(dv))
will be transform to
Equation B
10.4/V1=P1+2/5P2
However the "V1" in equation B will represent the value of "V1+dv"...
Most of the book using PV=nRT for PV^gamma constant for adiabatic process.
However, please refer attachment, proving using conservation of energy will also make sense?