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

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

H = mCp (T) ΔT

where m = mass (g), and Cp(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.

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