Thermodynamics Question 9

Question 9 - 29 January - Shift 1

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

(1) $270 kPa$

(2) $262 KPa$

(3) $278 kPa$

(4) $360 kPa$

Show Answer

Answer: (3)

Solution:

Formula: Ideal gas law

Taking volume constant : $\frac{P_1}{T_1}=\frac{P_2}{T_2}$

$\Rightarrow P_2=\frac{P_1}{T_1} \times T_2=\frac{270 \times(309)}{300}$

$=278 kPa$