Question

The tyre of a motor car contains air at 15 degree Celsius, if the temperature increases to 35 degree celsius, the approximate percentage increase in pressure is (ignore to expansion of tyre):

• A. $9$
• B. $11$
• C. $13$
• D. $7$

Answer 1

Answer: (D)

$7$

in adiabatic process relation between P and T:

$P\propto T$

$\frac{\Delta P}{P}\times 100=\frac{\Delta T}{T}\times 100$

$T_1=288K$ and $T_2=308K$

Percentage increment in pressure:

$\frac{\Delta P}{P}\times 100=\frac{T_2-T_1}{T_1}\times 100$

$\%P=\frac{308-288}{308}\times 100$

$\%P=7$