The specific heat capacity of a metal at low temperature (T) is given as Cp(kJK–1kg–1) = 32$\left(\dfrac{\text{T}}{400}\right)^3$. A 100 gram vessel of this metal is to be cooled from 20 K to 4 K by a special refrigerator operating at room temperature (27°C). The amount of work required to cool the vessel is
Less than 0.028 kJ
Equal to 0.002 kJ
Greater than 0.148 kJ
Between 0.148 kJ and 0.028 kJ