A bicycle tyre is filled with air having pressure of 270   kPa at 27 ° C . The approximate…

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
  1. 270 kPa
  2. 262 kPa
  3. 278 kPa
  4. 360 kPa

Solution

Given here, P1=270 kPa, T1=27+273=300 K, T2=36+273=309 K

Ideal gas equation is given by PV=nRT.

Considering isochoric process, i.e., constant volume so PT

Thus, P1T1=P2T2

P2=P1T1×T2=270×309300

=278 kPa

Asked in: JEE Main 2023 (29 Jan Shift 1)

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