A tire is filled with air at 1 5 ∘ C to a gauge pressure of 1.9 × 1 0 5 Pa. If the tire reaches a temperature of 4 0 ∘ C, what fraction of the original air must be removed if the original pressure of 1.9 × 1 0 5 Pa is to be maintained?

At constant volume the pressure would rise to P 0 288 313 . To keep P , n ∝ T 1 , so the fraction removed is 1 − 313 288 = 0.080 .

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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKinetic Theory of Gases and Gas LawsMedium2 minQB

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A tire is filled with air at $1 5^{\circ}$ C to a gauge pressure of $1.9 \times 1 0^{5}$ Pa. If the tire reaches a temperature of $4 0^{\circ}$ C, what fraction of the original air must be removed if the original pressure of $1.9 \times 1 0^{5}$ Pa is to be maintained?

Answer:

0.08

Solution:

At constant volume the pressure would rise to

$P_{0} \frac{313}{288}$ . To keep $P$ , $n \propto \frac{1}{T}$ , so the

fraction removed is $1 - \frac{288}{313} = 0.080$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Kinetic Theory of Gases and Gas Laws

⏱ 2mℹ️ Source: QB

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