A tyre pumped to a pressure `3.375 atm "at" 27^(@)C` suddenly bursts. What is the final temperature `(gamma = 1.5)`?

Explanation

To solve the problem of finding the final temperature after a tire bursts, we will use the principles of thermodynamics, specifically the adiabatic process. Here are the steps to arrive at the solution:

### Step 1: Understand the given data
- Initial pressure, \( P_1 = 3.375 \, \text{atm} \)
- Initial temperature, \( T_1 = 27^\circ C = 300 \, \text{K} \) (convert Celsius to Kelvin by adding 273)
- Final pressure, \( P_2 = 1 \, \text{atm} \) (after the tire bursts)
- Adiabatic index, \( \gamma = 1.5 \)

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