The heat required, H(cal), to induce a temperature change, T (C), of a material can be computed as H = mC p (T) T where

The heat required, ΔH(cal), to induce a temperature change, ΔT (°C), of a material can be computed as

H = mC_p (T) ΔT

where m = mass (g), and C_p(T) = heat capacity [cal/(g .°C)].
The heat capacity increases with temperature, T (°C), according to

Cp(T) = 0.132 + 1.56 × 10⁻⁴T + 2.64 × 10⁻⁷T 2

Write a script that uses the quad function to generate a plot of ΔH versus ΔT for cases where m = 1 kg, the starting temperature is –100 °C and ΔT ranges from 0 to 300°C.