# Automobile Tire Problem

shaiqbashir
Hi Guys!

im having trouble in solving this prob can u tell me the hints as well as the correct answer of this prob:

an automobile tire is filled to a gauge pressure of 2000 kPa when it is at an air temperature of 20 degree celsius. After the car has been driven at high speed, the tire temperature has increased to 50 degree celsius.

a) assuming that the volume of the tire has not changed, find the gauge pressure of the air in the tire(assuming the air to be an ideal gas).

b) calculate the gauge pressure if the tire expands so that its volume increases by 10 percent.

faust9
shaiqbashir said:
Hi Guys!

im having trouble in solving this prob can u tell me the hints as well as the correct answer of this prob:

an automobile tire is filled to a gauge pressure of 2000 kPa when it is at an air temperature of 20 degree celsius. After the car has been driven at high speed, the tire temperature has increased to 50 degree celsius.

a) assuming that the volume of the tire has not changed, find the gauge pressure of the air in the tire(assuming the air to be an ideal gas).

b) calculate the gauge pressure if the tire expands so that its volume increases by 10 percent.

PV=nRT

Air is an ideal gas for the most part.