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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  <div c

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
 

Option: 1

270 kPa 


Option: 2

262 kPa 


Option: 3

360 kPa 


Option: 4

278 kPa


Answers (1)

\begin{aligned} & \mathrm{PV}=\mathrm{nRT} \\ & \mathrm{n} \rightarrow \text { const. } \mathrm{V}=\text { const. } \\ & \mathrm{P} \alpha \mathrm{T}, \\ & \mathrm{P}_1=270 \mathrm{kpa}, \\ & \mathrm{T}_1=27^{\circ} \mathrm{C}=300 \mathrm{~K} \\ & \mathrm{P}_2=?, \\ & \mathrm{~T}_2=36^{\circ}=36+273=309 \mathrm{~K} \\ & \frac{\mathrm{P}_2}{\mathrm{P}_1}=\frac{\mathrm{T}_2}{\mathrm{~T}_1} \\ & \frac{\mathrm{P}_2}{270 \mathrm{KPa}}=\frac{309}{300} \\ & \mathrm{P}_2=\frac{103}{100} \times 270 \mathrm{KPa}=278 \mathrm{KPa} \end{aligned}

 

Posted by

Sumit Saini

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