Question 705: Thermodynamics & KTG

Question

A tyre of a vehicle is filled with air having pressure 270 kPa at $27^{\circ} \mathrm{C}$. The air pressure in the tyre when the temperature increases to $37^{\circ} \mathrm{C}$ is

Accepted Answer

We use
Gay-LussacÃ¢ÂÂs Law
(Pressure Law) for this question. According to this law, for a fixed amount of gas at constant volume:
$ \frac{P_1}{T_1} = \frac{P_2}{T_2} $
where,
$P_1 = 270~	ext{kPa}$
$T_1 = 27^\circ 	ext{C} = 27 + 273 = 300~	ext{K}$
$T_2 = 37^\circ 	ext{C} = 37 + 273 = 310~	ext{K}$
$P_2 =?$ (final pressure)
Let's substitute the values:
$ \frac{270}{300} = \frac{P_2}{310} $
Now solve for $P_2$:
$ P_2 = \frac{270 	imes 310}{300} $
$ P_2 = \frac{83700}{300} = 279~	ext{kPa} $
Final Answer:
Option D: 279 kPa

Answer

282 kPa

Answer

270 kPa

Answer

265 kPa

Answer

279 kPa

Thermodynamics & KTG

A tyre of a vehicle is filled with air having pressure 270 kPa at 27^{\circ} \mathrm{C}. The air pressure in the tyre when the temperature increases to 37^{\circ} \mathrm{C} is

Choose the correct answer: