Question

The air pressure inside the tube of a car tire is 430 kPa at a temperature of 13.0 °C. What is the pressure of the air, if the temperature of the tire increases to 59.5 °C? Assume that the volume of the tube doesn't change.

Answer 1

Answer:

The pressure of the air is 499.91 kPa.

Explanation:

Given that,

Initial pressure = 430 kPa

Temperature = 13.0+273=286 K

Final temperature = 59.5+273=332.5 K

We need to calculate the final pressure

Using relation of pressure and temperature

At constant volume,

$\dfrac{P'}{P}=\dfrac{T'}{T}$

$\dfrac{P'}{430}=\dfrac{332.5}{286}$

$P'=\dfrac{332.5}{286}\times430$

$P'=499.91\ kPa$

Hence,The pressure of the air is 499.91 kPa.