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

The pressure of the air is 499.91 kPa.

Step-by-step 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,

`(P')/(P)=(T')/(T)`

`(P')/(430)=(332.5)/(286)`

`P'=(332.5)/(286)*430`

`P'=499.91\ kPa`

Hence,The pressure of the air is 499.91 kPa.