The temperature of 3 kg of nitrogen is raised form `10^(@)C` to `100^(@)C`, Compute the heat added, the work done, and the change in internal energy if (a) this is done at constant volume and (b) if the heating is at constant pressure. For nitrogen
`C_(p) = 1400 J kg^(-1) K^(-1)` and `C_(v) = 740 J kg^(-1) K^(-1)`.

Explanation

To solve the problem, we will calculate the heat added, work done, and change in internal energy for both constant volume and constant pressure processes.

### Given Data:
- Mass of nitrogen, \( m = 3 \, \text{kg} \)
- Initial temperature, \( T_1 = 10^\circ C = 283.15 \, \text{K} \)
- Final temperature, \( T_2 = 100^\circ C = 373.15 \, \text{K} \)
- Specific heat at constant volume, \( C_v = 740 \, \text{J kg}^{-1} \text{K}^{-1} \)
- Specific heat at constant pressure, \( C_p = 1400 \, \text{J kg}^{-1} \text{K}^{-1} \)
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