`1` mole of `CO_(2)` gas at `300K` is expanded under reversible adiabatic condition such that its volume becomes `27` times. (a) What is the final temperature ? , (b) What is work done ?
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To solve the problem, we will follow these steps:
### Given Data:
- Initial moles of CO₂, \( n = 1 \) mole
- Initial temperature, \( T_1 = 300 \) K
- Volume expansion factor, \( V_2 = 27 \times V_1 \)
- For CO₂, \( \gamma = 1.33 \)
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