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A 10 kW drilling machine is used to dril...

A 10 kW drilling machine is used to drill a bore in a small aluminium block of mass 8.0 kg. How much is the rise in temperature of the block in 2.5 minutes assuming 50% of power is used up in heating the machine itself or lost to the surroundings? Specific heat of aluminum `=910Jkg^(-1)K^(-1)`.

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Given, `P=10xx10^(3)W`.
50% of `P=5xx10^(3)W`.
`m=8.0kg" "t=2.5xx60=150s`
`S=910Jkg^(-1)K^(-1)`
Amount of heat generated in the metal
`H=Pt=5xx10^(3)xx150=7.5xx10^(5)J`
but `Deltatheta=(H)/(ms)=(7.5xx10^(5))/(8xx910)=103.02K`.
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