A bicycle tyre is filled with air having pressure of 270… — JEE Main 2023 Physics PYQ

JEE Main 2023 · 29 Jan · Shift 1

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

A.
278 kPa
B.
360 kPa
C.
262 kPa
D.
270 kPa

Show answer and solution

Correct option: A

Solution

Using Gay-Lussac's Law at constant volume: P₁/T₁ = P₂/T₂.

T₁ = 300 K, T₂ = 309 K, P₁ = 270 kPa.

P₂ = 270 × (309/300) = 270 × 1.03 = 278.1 kPa ≈ 278 kPa.

[JEE Main 2023 · 29 Jan · Shift 1]

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