Starting with the equation tas = du + pdv and using the appropriate maxwell's relation along with the expression for heat capacity c, (see useful information),

Starting with the equation Tas = dU + pdV and using the appropriate Maxwell's relation along with the expression for heat capacity C, (see useful information), the derivative for a substance can S be expressed in terms of its specific heat c,, density p, coeficient of volume expansion B and temperature T. For ice, c,= 2010 J/kg-K, P = 10'kg/m' and ß = 1.6 x 10 /°K. If the value of aTat 270 K is Nx 10' Pa/K, then the value of N is _(specity your answer to two digit after the decimal point). JAM 2017]