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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

Given here, P 1 = 270   kPa ,   T 1 = 27 + 273 = 300   K ,   T 2 = 36 + 273 = 309   K Ideal gas equation is given by P V = n R T . Considering isochoric process, i.e., constant volume so P ∝ T Thus, P 1 T 1 = P 2 T 2 ⇒ P 2 = P 1 T 1 × T 2 = 270 × 309 300 = 278   kPa

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