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The specific heat of a substance at temp...

The specific heat of a substance at temperature at `t^(@)`c is `s=at^(2)+bt+c`. Calculate the amount of heat required to raise the temperature of m g of the substance from `0^(@)`C to `t_(0)^(@)`C

A

`(mt_(0)^(3)a)/3 + (bt_(0)^(2))/2+ct_(0)`

B

`(mt_(0)^(3)a)/3 + (mbt_(0)^(2))/2 + mct_(0)`

C

`(mt_(0)^(3)a)/3 + (mbt_(0)^(2))/2`

D

None of these

Text Solution

Verified by Experts

`DeltaH = intmsdt`
`=(m)int_(0)^(t_(0))(at^(2)+bt+c)dt = m[(at_(0)^(3))/3 +(bt_(0)^(2))/2 + ct_(0)]`
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