5 mole of oxygen are heated at constant volume from `10^(@)C "to" 20^(@)C`. What will be the change in internal energy of the gas? Gram molar specific heat of gas at constant pressure `=8cal. "Mole"^(-1).^(@)C^(-1)` and `R=8.36J "mole"^(-1).^(@)C^(-1)`.

Explanation

To solve the problem of finding the change in internal energy of 5 moles of oxygen heated at constant volume from \(10^\circ C\) to \(20^\circ C\), we can follow these steps:

### Step 1: Identify the Given Data
- Number of moles, \(N = 5 \, \text{moles}\)
- Initial temperature, \(T_1 = 10^\circ C\)
- Final temperature, \(T_2 = 20^\circ C\)
- Change in temperature, \(\Delta T = T_2 - T_1 = 20 - 10 = 10^\circ C\)
- Molar specific heat at constant pressure, \(C_P = 8 \, \text{cal} \, \text{mole}^{-1} \, ^\circ C^{-1}\)
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