A tyre pumped to a pressure of 3 atmospheres suddenly bursts. Calculate the fall in temperature due to adiabatic expansion. The temperature of air before expansion is `27^(@)C` and value of `gamma = 1.4`.

Explanation

To solve the problem of calculating the fall in temperature due to adiabatic expansion when a tire bursts, we can follow these steps:

### Step 1: Understand the Adiabatic Process
In an adiabatic process, the relationship between pressure and temperature can be described by the equation:
\[ P_1 V_1^\gamma = P_2 V_2^\gamma \]
where \( \gamma \) (gamma) is the heat capacity ratio.

### Step 2: Identify Initial Conditions
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