a) The gas law for a fixed mass m of an ideal gas at absolute temperature T, pressure P, and volume V is PV = nRT, where R is the gas constant. Show that (∂P/∂V)(∂V/∂T)(∂T/∂P) = -1
b) Show that for an ideal gas, (T)(∂P/∂T)(∂V/∂T) = mR