2. Derive the following Maxwell relations for open systems: a. Starting from dU=TdSPdV+GdN : (VT)S,N=(SP)V,N(NT)S,V=(SG)V,N(NP)S,V=(VG)S,N b. Starting from dH=TdS+VdP+GdN : (PT)S,N=(SV)P,N(NT)S,P=(SG)P,N(NV)S,P=(PG)S,N c. Starting from dA=PdVSdT+GdN : (NV)S,P=(PG)S,N c. Starting from dA=PdVSdT+GdN : (VS)T,N=(TP)V,N(NS)T,V=(TG)V,N(NP)T,V=(VG)T,N d. Starting from dG=VdPSdT+GdN : (PS)T,N=(TV)P,N(NS)T,P=(TG)P,N(NV)T,P=(PG)T,N