Chapter 1, Problem 124CP

At temperatures of a few hundred kelvins the specific heat capacity of copper approximately follows the empirical formula $c=a+\beta T+\delta T^{-2},$ where $a=\text{349J/kg}\cdot \text{K},$

$\beta =\text{0}\text{.107 J/kg}\cdot {\text{K}}^2,$ and $\delta =4.58\times {10}^5\text{J}\cdot \text{kg}\cdot \text{K}\text{.}$ How much heat is needed to raise the temperature of a 2.00-kg piece of copper from 20 ℃ to 250 ℃?