Answer Happy

dU = đQ+đW. The right hand differentials' are not proper differentials as the heat Q and work W are not state functions. When the work done on the system is reversible, we can however write the work in terms of state functions (pressure and volume): dU = đQ- pdV. The definitions of the heat capacities at constant volume and pressure are: đQ đQ =C =C dT dT Show that: (i) dU dT =C, ; (ii) au dV Co-C, = p+ av dT -(-+ Give two reasons why, when you look up specific heat capacities for metals, you generally find C, values but not C, values.