Answer the following True or False questions, explaining your reasoning in terms of the laws of thermodynamics where appropriate: (a) The quantities U, H, A, and G all have the same dimensions (i.e. expressed in the same units). (b) A(TS) = (AT)S+TAS. (c) The chemical potential µ¡ of a component i is a state function. d) The chemical potential of benzene must equal the chemical potential of toluene in a benzene-toluene mixture.