How Do Changes in Temperature and Volume Affect Tire Pressure?

[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.


Thanks in advance

 

[faust9]

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.


Thanks in advance

PV=nRT

Air is an ideal gas for the most part.

 

[ravenprp]

!

Hi there, solving this problem requires knowledge of the ideal gas law, which states that pressure and temperature are directly proportional to each other when volume and amount of gas are constant. Here are some hints to help you solve the problem:

a) To find the gauge pressure of the air in the tire, you can use the formula P1/T1 = P2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature. Remember to convert the temperatures to Kelvin (K = °C + 273.15) before plugging them into the equation.

b) To calculate the gauge pressure if the tire expands by 10%, you can use the formula P1V1/T1 = P2V2/T2, where V1 and V2 are the initial and final volumes. Remember to convert the volume to the same unit (e.g. cm^3 or m^3) before plugging them into the equation.

I hope this helps you solve the problem! If you're still having trouble, feel free to ask for more hints or clarification. Good luck!