Air is pumped into an automobile tyre's tube up to pressure pf 200kPa in the morning when the air temperature is `20^(@)C.`During the day the temperature rises to `40^(@)C` and the tube expand by 2%. Calculate the pressure of the air in the tube at this temperature.

Explanation

To solve the problem, we will use the ideal gas law and the relationship between pressure, volume, and temperature. The steps are as follows:

### Step 1: Convert temperatures to Kelvin
The initial temperature \( T_1 \) is given as \( 20^\circ C \) and the final temperature \( T_2 \) is \( 40^\circ C \).
- Convert these temperatures to Kelvin:
\[ T_1 = 20 + 273 = 293 \, K \]
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