The following problem arises when experiments are done solids at high pressures. if the pressure is increased by an amount delta p, this being done under circumstances where the sample is thermally insulated and at a sufficiently slow rate that the process can be regarded as quasi-static, what is the resulting change of temperature delta t of the sample? if delta p is fairly small, derive an expression for delta t in terms of delta p, the absolute temperature t of the sample, its specific heat at constant pressure c_p (in ergs g^-1 deg^-1), its density rho (in g/cm^2), and its volume coefficient of thermal expansion alpha (in deg^-1).