Question 82: Properties of Matter

Question

A bicycle tyre is filled with air having pressure of $$270 ~\mathrm{kPa}$$ at $$27^{\circ} \mathrm{C}$$. The approximate pressure of the air in the tyre when the temperature increases to $$36^{\circ} \mathrm{C}$$ is

Accepted Answer

$\mathrm{P}_{	ext {in }}=270 \mathrm{kPa}, \mathrm{T}_{	ext {in }}=27^{\circ} \mathrm{C}$
$=300 \mathrm{~K}$
$$
\mathrm{T}_{	ext {final }}=36^{\circ} \mathrm{C}=309 \mathrm{~K}
$$
Hence we can consider process to be isochoric volume constant
$	herefore P \propto T$
$$
\frac{P_{	ext {in }}}{P_{f}}=\frac{T_{	ext {in }}}{T_{f}} \Rightarrow P_{f}=278 ~\mathrm{kPa}
$$

Answer

262 kPa

Answer

360 kPa

Answer

270 kPa

Answer

278 kPa

Properties of Matter

A bicycle tyre is filled with air having pressure of $270 ~\mathrm{kPa} at 27^{\circ} \mathrm{C}. The approximate pressure of the air in the tyre when the temperature increases to 36^{\circ} \mathrm{C}$ is

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