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  4. A bicycle tyre is filled with air having pressure of 270 k Pa at 27° C. The approximate pressure of the air in the tyre when the temperature increases to 36° C is

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Q. A bicycle tyre is filled with air having pressure of $270 \,k\,Pa$ at $27^{\circ} C$. The approximate pressure of the air in the tyre when the temperature increases to $36^{\circ} C$ is

JEE MainJEE Main 2023Kinetic Theory

Solution:

Taking volume constant: $\frac{P_1}{T_1}=\frac{P_2}{T_2}$
$ \Rightarrow P _2=\frac{ P _1}{ T _1} \times T _2=\frac{270 \times(309)}{300} $
$ =278\, kPa$