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BITSAT Physics Kinetic Theory of Gases 2023 BITSAT 2023 (Memory Based Paper 1)

BITSAT Physics Question (2023) — Solution

Question

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. A. 270 kPa
  2. B. 262 KPa
  3. C. 278 kPa
  4. D. 360 kPa

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, T_1=27+273=300 ~K P_1=270 kPa T _2=36+273=309 ~K P_2= P_1 T_1 T_2= 270 (309) 300 =278 kPa

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