A 10kW drilling machine is used for 5 minutes to bore a hole in an aluminium block of mass 10 xx10^(3) kg. If 40% of the work done is utilised to raise the temperature of the block,find the rise in temperature of the aluminium block ?

A 10kW drilling machine is used for 5 minutes to bore a hole in an alu

1.	A 10kW drilling machine is used for 5 minutes to bore a hole in an aluminium block of mass 10 xx10^(3) kg. If 40% of the work done is utilised to raise the temperature of the block,find the rise in temperature of the aluminium block ?
Answer» Solution :Work done by the drilling MACHINE in 5 minutes =W `W = "POWER" xx "time" = 10 xx10^(3) xx5xx60 = 3 xx10^(6) J` The energy utilised to RAISE the temperature of the block=40 % of W =`3 xx10^(6) xx 40/100 = 12 xx10^(5) J`. Heat gained by aluminium block = mass `xx`specific heat `xx` increase in temperature. `12 xx10^(5) =(10xx10^(3))xx0.9xx Delta t ` ` :.Delta t = (12XX10^(5)/0.9xx10^(4)) = 133.3^(@)C`