NOTE:
(i) At time 3:42, it is said "...it would correspond to a minimum of the entropy...". It would actually correspond to a minimum of "the internal energy".
(ii) At time 6:25, in the equation for (dQ/dT)(subscript P), the second term on the RHS is wrong. It should have been P(dV/dT)(subscript P) and not P(dV/dT)(subscript T).
(iii) Also, around 18:03, the video gets momentarily "stuck", while the audio continues. Please ignore this.
Apologies for the errors.