00:01
Hello students, in this question we have a particular fixed quantity is transforming in two paths.
00:08
This is the volume and this is the pressure.
00:11
So from a it is going one path b d and another path c d right.
00:20
So the c coordinates are 4 volume and this is 1 .5 and b coordinates are what b coordinates are again 4 and 5.
00:32
This is 5 again 4.
00:34
So these are the two pathways in which this is happening.
00:37
So first we need to find out the pressure.
00:43
So volume is the this starts from v0.
00:46
So p starts from p0.
00:47
So p0 in terms of p0 5 times v0 and 5 times p0 is the conversion happening.
00:52
So from a b c a b d path the pressure is changing from a which is v0 p0 to b which has 5 times p0.
01:07
This is a has 4 times this is 4.
01:10
So it has 4 times p0 and v value is 1.
01:14
So v0 4 times v0 to 5 p0 v0 value is 4 times v0.
01:26
So it starts from there.
01:28
Now to c it transforms to d it transforms to 5 times v0 and 3 times p0.
01:39
Now in the path a d c this goes from starting from 4 times p0 v0 to c is c is having 4 times v0 and and 1 .5 times 1 .5 times p0 4 times v0 which is a c part to this is d d d 5 times v0 3 times p0.
02:05
So first we need to find out the temperature temperature of the state a is given as 143 148 .3 degrees kelvin.
02:18
So temperature of a is equal to 148 .3 degrees celsius in celsius it is given.
02:24
So we need to find out what the temperature of state b state b we need to find out temperature.
02:31
So temperature of state b you can write down pv is equal to nrt.
02:36
So t will be equal to pv by nr.
02:39
So for the first state we can substitute the value of nr in here.
02:45
So first is nr will be equal to pv by t.
02:48
So we know the a state for the a state this nr value will be equal to p which is 5 times 4 times p0 times v0 by t which is 148 .3.
03:03
So we got the nr value.
03:05
Now we can substitute for at b t at b will be equal to p pressure at b is 5 p0 times 4 v0 divided by 4 p0 times v0 divided by 148 .3.
03:19
So that is equal to p0 and p0 cancels each other.
03:22
So 4 and 4 cancels.
03:23
So you get 5 times 148 .3 degrees celsius.
03:29
So that is equal to 743...