00:01
In this question, we need to find the drew thompson coefficient and the inversion temperature for a gas with this equation of states.
00:08
Okay, so to start, solving this problem.
00:14
First, we need the definition of drew thompson coefficient, which is minus 1 over cp, v.
00:23
V.
00:23
V.
00:26
P.
00:26
At 6p.
00:28
Okay.
00:30
So we need to find a part of p.
00:33
Partial derivative.
00:35
So from the equation of states, i'm going to differentiate respect to t, both sides.
00:55
So we have p plus a over v square, partial v, partial t at fixed p, plus v minus 2a over v, q, partial v, partial t at fixed p equals to r.
01:20
So we can factor out the partial partial t, a fixed p and then the p plus a over v square i'm going to write as r t over v.
01:31
This is again from the equation of states and then minus 2a over v square and then this is equal to r then you can combine the terms in the square bracket so you get r t v minus 2a divided by v square goes to r so we have partial v, partial t, that fixed p could be r v squared divided by rtv minus 2a...