(C) Compare results of 2(A) and 2(B) to show that T, V and u can be defined as a partial derivatives of enthalpy H. ( Make sure to keep track of variables that are kept constant) 2) Enthalpy is one of the fundamental concepts is thermodynamics which quantifies amount of heat in the system. The change in enthalpy is often associated with a particular chemical process and is useful when analyzing various chemical reactions. Enthalpy H can be defined as a function of entropy (S), pressure (p) and number of particles (N). (A) What is a mathematical definition of exact differential dH for H(S, p, N) (keep the expression in the form of partials)? dH = Tds - Udp (B) Turns out H is defined as: H = E+ PV (1) Where E is internal energy; Differential of internal energy E is defined as: dE = T dS - p dV + u dN (2) Where u is a chemical potential; Write down a differential dH based of equation (1) using a product rule and apply equation (2) to your solution. H = E + PV OH = dE + pdu + Udp CE = Tds - Pav + dN dH = Tds - pod v + NOV + Pdu + Ucdp