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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 aluminium `= 0.91 J g^(–1) K^(–1)`.

A

`103^@C`

B

`130^@C`

C

`105^@C`

D

`30^@C`

Text Solution

Verified by Experts

The correct Answer is:
A
Total work done by drill machine in `2.5xx60s`
`=(10xx10^3)(2.5xx60)=15xx10^5J`
Energy lost `=50%` of `15xx10^5J=7.5xx10^5J`
Energy taken by its surroundings, i.e., aluminium block
`DeltaQ=mcDeltat=8xx10^3xx0.91xxDeltaTJ`
Energy given `=`Energy taken
`7.5xx10^5=8xx10^3xx0.91xxDeltaT`
`impliesT=103^@C`
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