1. Please allow the Molar Internal Energy to be a function of T and v, ū = ū(T, v). u = u(T,V), and show that dū = ƏT dT + dū. Recall that Combine the two previous equations to show that dū = čydT +...

Extracted text: 1. Please allow the Molar Internal Energy to be a function of T and v, ū = ū(T, v). u = u(T,V), and show that dū = ƏT dT + dū. Recall that Combine the two previous equations to show that dū = čydT + dv. Set a pin in this equation. We'll be back. In the meanwhile, please write the First Fundamental Property Relation (i.e, the one that begins du = ...). Divide through by dv and require T to be constant. Use the Maxwell Relations to eliminate the partial derivative that involves the entropy to show that = T|- - . T Combine the last two equations to show that dū = c,dT + %D