A $10\, kW$ drilling machine is used to drill a bore in a small aluminium block of mass $8 \,kg$. Find the rise in temperature of the block in $2.5$ minutes, assuming $50\%$ power is used up in heating the machine itself or lost to the surroundings.
(Specific heat of aluminium $= 0.91\, J \,g^{-1} \,^{\circ}C^{-1}$)