Question

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

Answer 1

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