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MHT CET202520 Apr 2025Morning ShiftPhysicsThermodynamicsActual

A tyre of a vehicle is filled with air having pressure 270 kPa at 27^ C . The air pressure in the tyre when the temperature increases to 37^ C is

Options

  1. A282 kPa
  2. B270 kPa
  3. C265 kPa
  4. D279 kPa

Correct answer

D. 279 kPa

Step-by-step solution

Gay-Lussac’s Law applies for a fixed mass of gas at constant volume, with pressure proportional to absolute temperature: P₁ T₁ = P₂ T₂ . Convert temperatures to Kelvin: T₁ = 27 + 273 = 300 K T₂ = 37 + 273 = 310 K Given P₁ = 270 kPa, solve for P₂ : P₂ = P₁ T₂ T₁ = 270 310 300 = 270 31 30 = 279 kPa The final pressure is 279 kPa.

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