00:01
Hello and welcome to this video solution of numerate.
00:03
Here you have to show that the thermal efficiency of an ideal otto cycle is given by 1 minus 1 by r to the power of gamma minus 1 right.
00:10
Now what you can do is i can draw the first otto cycle starting from 1.
00:15
Here you have got adiabatic compression.
00:24
This is pv right.
00:27
Then you have got constant volume heat addition.
00:30
So here you have got q in right.
00:34
Then compression and final heat rejection right.
00:37
So this is 1, 2.
00:39
This is 3, 4 right is what we have.
00:43
Now from the expression of eta which is efficiency which is equal to work done over the heat input right.
00:56
And this will be equal to the work done is given by heat added over the heat lost by heat added right.
01:13
And this is equal to 1 minus ql over qh right.
01:21
And here this is equal to 1 minus this is cv specific heat at constant volume and qc is the heat loss which is 4 minus 1 right.
01:34
T4 minus t1 or t1 minus t.
01:37
So t4 minus t1 over cv qh is q3 minus q2 t3 minus t2 right...