$(12+12\%)$ Show that heat is emitted in an isothermal increase in the magnetic induction $B($a process known as isothermal magnetization $)$ but that temperature is reduced for an adiabatic reduction in $B($a process known as adiabatic demagnetization $).[$Hint:$,$ thermodynamic identity $dU=TdS-mdB,$ magnetic susceptibility $$~~${}_0\frac{M}{B}$prop $\frac{1}{T}($Curie$\text{'}$s law$),$ magnetic moment $m=MV($magnetization $$ volume$)]$