00:01
Let us draw the same is p .v diagram.
00:07
So the point a is when the volume is 1 into 10 to minus 3 cubic meter and pressure is 10 this to 5 pascal, right? 1 into 10 tends to 5 pascal.
00:25
So here on the x -axis is the volume and y -axis is the pressure.
00:34
So when volume is 1 into 10 x to minus 3 cubic meter, and means pressure is 1 into 10 to 5 pascal, so this is the first point.
00:46
This we call it point a.
00:50
Now from point a, the gas is moved to point b, where the volume increased to three times, but that means pressure remains constant.
01:10
It means volume should be at point b, the pressure remains constant.
01:14
So line should be parallel to the volume axis and volume should be three cubic, three into 10 to minus three cubic meter now.
01:25
So this should be point b.
01:28
Say because a to b, the pressure is constant and volume is increased three times.
01:36
So this is point b.
01:37
Now from point b to c is a isothermal compression until the gas is back to its initial volume.
01:52
So gas is back to its initial volume.
01:55
It means the volume at point c should be to locate the point c, we need to find out the value of its pressure and volume at point c.
02:25
Now at point c, they are saying the gas is back to its initial volume, right? so about the volume, we know the point c should be somewhere here means above the initial volume of one cubic meter.
02:44
Now we need to find out the pressure of point c.
02:48
Right.
02:48
Now they are saying that b2c is an isothermal process.
02:55
B should see is temperature constant.
03:00
It is a isothermal process.
03:03
Now when temperature is constant, then means pressure into volume is remains constant, right? it means pressure at point b into volume at point b should be equal to the pressure at point c, into volume at point c.
03:30
From here, we can find out the mispressure at point c should be equal to mispressure at point b.
03:38
Now, what is the pressure at point b is 1 into 10 rest to 5 and volume at point b is 3 into 10 to minus 3, right? d divided by volume at point c.
03:53
Now at point c, it returns to its means original volume.
03:58
It means it is 1 into 10 -2 minus 3, saying that it returns to its original volume.
04:07
So here, 10 -to - minus 3, 10 -rest -to -minus 3 cancelled out.
04:13
So, means pressure at point c would be 3 into 10 -res to 5.
04:18
Right? and volume at point c, it is already given.
04:23
It's written to its means original volume.
04:26
It means it is 1 into 10 rest to minus 3 cubic meter.
04:31
So the point c we can locate here.
04:37
Its pressure should be 3 and volume should be 3 into 10 to 5 pascal and volume should be 1 into 10 to minus 3 cubic meter.
04:49
This is how we will locate the point c.
04:54
Now, how to join these points? now, point a to b is simply saying it's constant pressure, right? point a to b is constant pressure.
05:06
So the line should be parallel to the volume axis.
05:11
So this we can directly join.
05:14
But b to c is a, say from b to c, it is saying it is a constant temperature.
05:25
B to c is constant temperature but this graph does not include the temperature.
05:33
So we need to find out the intermediate points, say, between b and c, so that we can define the shape of the curve, say, between b and c.
05:47
Right.
05:47
So for this some values of say any one value say we can take so here at point b because b to c is a isothermal process so on all the points on the curve join joining b and c the miss pressure into volume should be constant now what is at point b we take it first at point b.
06:26
The means pressure into volume, the means pressure is 1 into 10 to 5 and volume is 1 into 10 to minus 3.
06:36
It means the pressure into sorry at point b the volume is 3 into 10 and 10 to minus 3.
06:43
So means pressure into volume is 3 into 10 to 2.
06:48
Right? now this value should remain constant.
06:52
Now if volume is 2, now if volume is 2 into 10 x2 minus 3, then what should be the pressure? the pressure should be 3 into 10 x2 minus 2 which should be constant because the pressure volume is constant divided by 2 into 10 raised to minus 3.
07:21
It means it is 1 .5 into 10 -5 pascal.
07:30
Similarly, actually we are trying to find out the value of the means pressure as we reduce the volume between b to c.
07:41
Then only we will reach to point c.
07:45
So after three we are going back to 2, 2, then we'll go back to 1 .5 and then we'll go back to 1 .5.
07:52
Like this.
07:54
So just to find out some points.
07:56
Right.
07:57
So one point which we can plot between b and c is where the volume is 2 into 10 minus 3 cubic meter and the pressure is 1 .5 into 10 to 5 pascal.
08:12
This is one point.
08:14
And means other point which we can we can plot is when v is 1 .5 into 10 to minus 3 cubic meter, then p should be 3 into 10 raised to 2 divided by 1 .5 into 10 to minus 3 cubic meter.
08:39
It means it is 2 into 10 to 5 pascal.
08:42
This will be the another point between b and c.
08:47
This will be the one point, the volume.
08:50
The volume.
08:50
And this will be the pressure.
08:54
So if we plot these points 1 .5 and 2, like when volume is 2, here when volume is 2, the pressure is 1 .5.
09:06
When volume is 2, the pressure is 1 .5.
09:09
This will be the one point between p and c.
09:13
Now when volume is 1 .5, the pressure is 2.
09:17
When volume is 1 .5, the pressure is 2.
09:20
This will be the another point between b and c.
09:23
And when we join these points with a smooth curve, this gives us the shape of the curve between b and c, which is an isothermal curve.
09:35
This is how we define the shape.
09:40
Now, they are saying that finally a single, means process c, return the gas to its initial state.
09:51
So, okay, so it goes.
09:53
Goes back to ca.
09:56
So the means process remains gas goes from a to b, then from b to c, then from c to a.
10:04
Done...