00:01
We have du is equal to dou u by dou t at v into dt plus dou u by dou v at t into dv.
00:17
Let this be equation number 1.
00:19
1.
00:19
And according to first law of thermodynamics, we can write dq is equal to du plus dw, which is equal to du plus pdv.
00:55
Let this be equation number 2.
00:57
And from equation 1 and 2, from 1 and 2, we can write dq is equal to dou u by dou t at v into dt plus dou u by dou v at t t into dv plus pdv.
01:25
Then we can write dq by dt is equal to dou u by dou t at v plus p plus dou u by dou v at t into dv by dt.
01:49
Let this be equation number.
01:57
Now let's answer the first first question, when the gas is heated at constant volume dq by dt at v is equal to cv and dv by dt is equal to 0.
02:35
0.
02:36
Then we can write cb is equal to dou u by dou t at constant volume.
02:46
Let us pick equation number 4.
02:49
And second, when the gas is heated at constant pressure, we can write dq by dt at constant pressure is equal to cp...