How Does Temperature Affect Tire Pressure?

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SUMMARY

The discussion centers on the relationship between temperature and tire pressure, specifically estimating the new pressure in a tire when the temperature changes from -10°C to +10°C. Using the ideal gas law, the equation P1/T1 = P2/T2 was applied, resulting in a calculated pressure of 204 kPa after the temperature increase. The assumptions made include constant volume, number of moles, and the ideal gas constant. This analysis confirms that tire pressure increases with temperature, adhering to the principles of gas behavior.

PREREQUISITES
  • Understanding of the ideal gas law (Pv=nRt)
  • Basic knowledge of temperature scales (Celsius)
  • Familiarity with pressure units (kPa)
  • Concept of direct proportionality in gas laws
NEXT STEPS
  • Study the ideal gas law in detail, focusing on its applications in real-world scenarios.
  • Research the effects of temperature on tire pressure in automotive contexts.
  • Learn about tire pressure monitoring systems (TPMS) and their importance for safety.
  • Explore the relationship between altitude and tire pressure changes.
USEFUL FOR

Automotive engineers, physics students, and anyone interested in understanding the principles of gas laws and their practical applications in vehicle maintenance.

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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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Your analysis is correct.
 

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