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Find (in terms of 'a') the amount of ene...

Find (in terms of `'a'`) the amount of energy required to raise the temperature of a substance from `3K` to `5K`. At low temperature. `C_(p)=aT^(3)`.

Text Solution

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`q=intnC_(p).dT=int naT^(3).dT`
`=na[(T^(4))/(4)]^(5)=(na)/(4)[(5)^(4)-(3)^(4)]`
`=(na[625-81])/(4)=136 na`.
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