00:01
So here in this question, we are supposed to determine the error limits for the volume using total differential.
00:06
And also, we have been given the ideal gas law as b equals nrt.
00:11
So from the giving data, we have the t to the 296 .1 kelvin.
00:17
We have the pressure to be 245 .4.
00:21
And we have the n to 2 .0 more.
00:24
Now, these are the possible errors that we have been given.
00:27
And r that was giving in the testing.
00:29
Since we are looking at it, since we are using total partial differential, we need to make v the subject here.
00:36
So let's go through that.
00:38
In order to do that, we have v for the pressure and the temperature, we have nrt all over.
00:54
You are free to call this equation 1.
00:56
Now for a total differential, the total differential of v becomes a partial differential of the v all over the partial differential of the p multiplied by the total differential of the pressure plus partial differential of the v all over t then the total differential of the t now solve this further you mean we already know what our v is n r t over p so when we do this you are going to get negative n r t all over p squared because it's already a p here total differential for the p plus n r all over p because the t cancels out and that's in the total differential okay now i'm going to substitute our values into this so we're substitute our values by 8 .3 .8 .31 .447 multiplied by 296 .1 all over 245.
02:33
And all of this multiplied by 0 .9 .6 .1...