Question

A car tyre has a volume of $10$ litre when inflated. The tyre is inflated to a pressure of $3$ atm at ${17}^{o}C$ with air. Due to during the temperature of tyre increases to ${47}^{o}C$. Choose the correct options.

• A. Pressure at this temperature is $2.3103$ atm
• B. $3.1029$ lit of air should be let out at $1$ atm to restore the tyre to $3$ atm at ${47}^{o}C$
• C. Pressure at this temperature is $3.3103$ atm
• D. $2.1029$ lit of air should be let out at $1$ atm to restore the tyre to $3$ atm at ${47}^{o}C$

Answer 1

Answer: (C)

Pressure at this temperature is $3.3103$ atm

$P_1=3$ atm

$V_1=10$ L

$T_1={17}^{0}C=290$K

$V_2=10$ L

$T_2={47}^{0}C=320$K

At constant volume

$\frac{P_1}{P_2}=\frac{T_1}{T_2}$

$P_2=\frac{3\times 320}{290}=3.3103atm$