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 : $\frac{P_1}{T_1}=\frac{P_2}{T_2}$
$\Rightarrow P_2=\frac{P_1}{T_1} \times T_2=\frac{270 \times(309)}{300}$
$=278 kPa$
