Find (in terms of `'a'`) the amount of energy required to raise the temperature of a substance from `3K` to `5K`. At low temperature. `C_(p)=aT^(3)`.

Explanation

To find the amount of energy required to raise the temperature of a substance from \(3K\) to \(5K\) when the specific heat capacity at low temperature is given by \(C_p = aT^3\), we can follow these steps:

### Step 1: Write the formula for the amount of energy
The amount of energy \(Q\) required to raise the temperature of a substance can be calculated using the formula:
\[ Q = \int n C_p \, dT \]
where \(n\) is the number of moles, and \(C_p\) is the specific heat capacity.
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