Question

A tyre of a vehicle is filled with air having pressure 270 kPa at 27°C. The air pressure in the tyre when the temperature increases to 37°C is ______.

Options

• 282 kPa

• 270 kPa

• 265 kPa

• 279 kPa

Answer 1

A tyre of a vehicle is filled with air having pressure 270 kPa at 27°C. The air pressure in the tyre when the temperature increases to 37°C is 279 kPa.

Explanation:

\[\frac {P_1}{P_2}\] = \[\frac {T_1}{T_2}\]

\[\therefore\] P₂ = \[\frac {T_1}{T_2}\] P₁ = \[\frac {(273+37)}{(273+27)}\]× 270

\[\therefore\] P₂ = 279 kPa