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

Question

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 (A) 262 kPa (B) 270 kPa (C) 360 kPa (D) 278 kPa

Tardigrade Admin · Accepted Answer

Taking volume constant: (P1/T1)=(P2/T2) ⇒ P 2=( P 1/ T 1) × T 2=(270 ×(309)/300) =278 kPa

Q. A bicycle tyre is filled with air having pressure of $270 k P a$ at $2 7^{\circ} C$ . The approximate pressure of the air in the tyre when the temperature increases to $3 6^{\circ} C$ is

$262 k P a$

$270 k P a$

$360 k P a$

$278 k P a$

Taking volume constant: $\frac{P _{1}}{T _{1}} = \frac{P _{2}}{T _{2}}$
$\Rightarrow P_{2} = \frac{P _{1}}{T _{1}} \times T_{2} = \frac{270 \times ( 309 )}{300}$
$= 278 k P a$

Q. A bicycle tyre is filled with air having pressure of 270kPa at 27∘C. The approximate pressure of the air in the tyre when the temperature increases to 36∘C is

262kPa

270kPa

360kPa

278kPa