Tire pressure with temperature

In summary, the initial temperature and pressure of air in an automobile tire are -10oC and 190kPa respectively. As the temperature increases to +10oC, the new pressure in the tire can be estimated using the formula P1/T1=P2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the new pressure and temperature. Assuming that the volume, number of moles, and gas constant are constant, the new pressure is estimated to be 204kPa. However, this is only an estimate as there is no given answer for this question.
  • #1
cd19
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Homework Statement


Air in an automobile tire is initially at -10oC and 190kPa. After the automobile is driven while the temperature rises to +10oC. Estimate the new pressure in the tire. State all assumptions that you make in providing this estimate.


Homework Equations


Pv=nRt




The Attempt at a Solution



As the temperature increases the air pressure will increase in the tire

I assume that the v n and r in the equation are constant in this problem

therefore the P1/T1=P2/T2

which is 190*283/263 = 204kPa

I could be completely wrong here as there is no answer given to this question, can someone share some thoughts?
 
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  • #2
Your analysis is correct.
 

Related to Tire pressure with temperature

What is the relationship between tire pressure and temperature?

The relationship between tire pressure and temperature is that as temperature increases, tire pressure also increases. This is due to the fact that air molecules inside the tire gain more energy and move around faster, leading to an increase in pressure. On the other hand, as temperature decreases, tire pressure decreases as well.

Why is it important to monitor tire pressure with temperature changes?

It is important to monitor tire pressure with temperature changes because it directly impacts the performance and safety of your vehicle. Incorrect tire pressure can lead to decreased fuel efficiency, uneven tire wear, and even tire blowouts. Maintaining proper tire pressure can also improve handling and braking, ensuring a safer driving experience.

How does tire pressure affect tire longevity?

Tire pressure plays a crucial role in the longevity of your tires. If tire pressure is too high, it can cause the tire to wear out in the center, while low tire pressure can cause the edges of the tire to wear out faster. This can lead to premature replacement of tires, which can be costly. Monitoring and maintaining proper tire pressure can extend the life of your tires.

How can temperature fluctuations affect tire pressure?

Temperature fluctuations can significantly affect tire pressure. As temperature increases, tire pressure will increase, and as temperature decreases, tire pressure will decrease. It is important to check and adjust tire pressure accordingly, especially during extreme weather conditions. For every 10 degrees Fahrenheit change in temperature, tire pressure can fluctuate by 1-2 psi.

What is the recommended tire pressure for different temperature ranges?

The recommended tire pressure for a vehicle can typically be found in the owner's manual or on a sticker located on the driver's side door jamb. However, as a general rule, tire pressure should be increased by 1 psi for every 10 degrees Fahrenheit increase in temperature and decreased by 1 psi for every 10 degrees Fahrenheit decrease in temperature. It is recommended to check and adjust tire pressure at least once a month or before long trips.

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