At very low temperatures, heat capacity of a solid is proportional to `T^(3)` and can be written as: `C_(P) = alphaT^(3)` where `alpha = 3xx10^(8)J mol^(-1) K^(-1)`. What is the change in enthalpy when a solid is heated from `0K` to `300K`?

Explanation

To find the change in enthalpy when a solid is heated from 0 K to 300 K, we can follow these steps:

### Step 1: Understand the relationship between heat capacity and enthalpy
The heat capacity at constant pressure \( C_P \) is given by the equation:
\[ C_P = \alpha T^3 \]
where \( \alpha = 3 \times 10^8 \, \text{J mol}^{-1} \text{K}^{-1} \).
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