Verified Solution • 2025–26 Session moderate

QJEEM23Ph341b: JEE Main 2023 Physics - Class 11 JEEM23Ph341b Solution: A bicycle tyre is filled with air having pressure of at . The…

A bicycle tyre is filled with air having pressure of 270 kPa270 ~\mathrm{kPa} at 27∘C27^{\circ} \mathrm{C} . The approximate pressure of the air in the tyre when the temperature increases to 36∘C36^{\circ} \mathrm{C} is

Multiple Choice Options

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

Step-by-Step Verified Solution

Pin =270kPa,Tin =27∘C\mathrm{P}_{\text {in }}=270 \mathrm{kPa}, \mathrm{T}_{\text {in }}=27^{\circ} \mathrm{C}

=300 K=300 \mathrm{~K}

Tfinal =36∘C=309 K\mathrm{T}_{\text {final }}=36^{\circ} \mathrm{C}=309 \mathrm{~K}

Hence we can consider process to be isochoric volume constant

∴P∝T\therefore P \propto T

Pin Pf=Tin Tf⇒Pf=278 kPa\frac{P_{\text {in }}}{P_{f}}=\frac{T_{\text {in }}}{T_{f}} \Rightarrow P_{f}=278 ~\mathrm{kPa}

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