00:01
Hi, everybody.
00:01
So if it is compressed with initial state 200k pascals in an small process, find the mass of water condensing.
00:11
Okay, so we're going to start with q value equal the w plus the work.
00:21
We've got q minus w the humidity of the work.
00:29
And we're keep going down, two minus u1.
00:35
And so the, so that's what we look at.
00:40
So initial air is saturated, moist air.
00:43
So five is 100, by one is at 100%, and your t1 is at 5 degrees celsius from saturated water tablets, okay? so your pressure total is pv1 equals, pg, gas 1 is 0 .8721k pascels.
01:09
And so we can do the humidity ratio here.
01:14
The humidity ratio is 0 .622 pv1 over p1 minus pv1.
01:22
So here we get 0 .622 times 0 .8721, divided by 100.
01:32
Minus 0 .8721 equals 0 .005472.
01:42
Okay.
01:44
And now we do the energy equation.
01:47
So we have m total equals ma for the air plus mv1.
01:55
And we're going to keep going down.
01:56
So we have ma plus the humidity times ma equals ma.
02:03
Times, oops, times one plus humidity.
02:11
Okay, there we go.
02:15
And so now we can have an a equals m total over one plus humidity.
02:24
Okay.
02:26
And from here we have 100 divided by 1 plus 0 .005472.
02:36
I'm just going to scroll down so we can see it a little better.
02:39
And this is going to equal to 99 .456 kilograms.
02:46
Okay.
02:47
And now we can find m v1, which is going to be m total minus ma.
02:54
So we have 100 minus 99 .456.
03:01
So it's going to be 0 .5444 kilograms.
03:05
Okay.
03:07
And so now we can solve for the a.
03:10
So when that process is isobaric and the final temperature, so we have the final temp, equaling 45 degrees celsius, and that's going to be t2, okay? so here we have your humidity equals pressure times the u -1 -u -2.
03:35
And so we're going to keep going down equals 1.
03:43
Plus u2 minus u1.
03:46
I'm going to keep going.
03:48
We've got pressure v2 minus v1 for the volumes plus the energy, u2 minus u1.
03:57
And i apologize that my bs and u's kind of look the same.
04:03
I don't know why i just can't seem to get them to not look different.
04:08
Okay, so we have h2 minus h1 equals, h2 minus h1 and that's air plus the humidity times h2 minus h1 for the vapor.
04:26
Okay.
04:29
And we're just going to keep going and we have cp of temperature 2 minus temperature 1 of air plus the humidity of hv2 minus hv1.
04:46
And now we can plug in chugs.
04:49
We have 1 .0 .04 times 45 minus 45.
04:58
And we have plus 0 .0 .0 here...