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BITSAT2023PhysicsKinetic Theory of GasesActual

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

Options

  1. A270 kPa
  2. B262 KPa
  3. C278 kPa
  4. D360 kPa

Correct answer

C. 278 kPa

Step-by-step solution

From the ideal gas equation PV = nRT Here, volume is constant P ₁ ~T ₁ = P ₂ ~T ₂ Here, T₁=27+273=300 ~K P₁=270 kPa T ₂=36+273=309 ~K P₂= P₁ T₁ T₂= 270 (309) 300 =278 kPa

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