A bicycle tyre is filled with air having pressure of 270 kPa at 27°C. The approximate pressure of the air in the tyre when the temperature increases to 36°C is [2023]

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Solution

Q.
A bicycle tyre is filled with air having pressure of 270 kPa at 27°C. The approximate pressure of the air in the tyre when the temperature increases to 36°C is [2023]

1 270 kPa

2 262 kPa

3 278 kPa

4 360 kPa

Ans.
(3)

$Taking volume constant: \frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$

$\Rightarrow P_{2} = \frac{P_{1}}{T_{1}} \times T_{2} = \frac{270 \times 309}{300} = 278 kPa$

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