`4.0 mol` of an ideal gas initially at `1.5atm` and `300K` is heated to `600K` where the pressure is `4.5atm`. Also, `C_(vm) = a+bT, a = 25 J K^(-1)mol^(-1), b = 0.03 J K^(-2) mol^(-1)`. Determine `DeltaU, DeltaH`.

Explanation

To solve the problem of determining \(\Delta U\) and \(\Delta H\) for the given ideal gas, we will follow these steps:

### Step 1: Calculate \(\Delta U\)

The change in internal energy (\(\Delta U\)) for an ideal gas can be calculated using the formula:
\[ \Delta U = n \int_{T_1}^{T_2} C_{V,m} \, dT \]
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