A certain gas occupies a volume of 0.76 L at a pressure of 1.2 atm and a temperature of 4000 K. It is expanded adiabatically to a volume of 4.3 L. Determine (a) the final pressure and (b) the final temperature, assuming the gas to be an ideal gas for which `gamma` = 1.4.

Explanation

To solve the problem step by step, we will use the principles of thermodynamics, specifically focusing on the adiabatic process for an ideal gas.

### Given Data:
- Initial Volume, \( V_a = 0.76 \, \text{L} \)
- Initial Pressure, \( P_a = 1.2 \, \text{atm} \)
- Initial Temperature, \( T_a = 4000 \, \text{K} \)
- Final Volume, \( V_b = 4.3 \, \text{L} \)
- Adiabatic index, \( \gamma = 1.4 \)
...