Calculating pressure change with temperature?

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SUMMARY

The discussion focuses on calculating pressure changes in tires based on temperature variations using the formula P1/T1 = P2/T2. The absolute temperature must be converted to the Rankine scale, where 80°F equals 540°R. For example, to find the pressure at 90°F, one would convert 90°F to 550°R and apply the formula to determine the new pressure in psi.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of temperature conversion to the Rankine scale
  • Familiarity with pressure units, specifically psi
  • Basic algebra for manipulating equations
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  • Learn about the Ideal Gas Law and its applications
  • Study temperature conversions between Fahrenheit and Rankine
  • Explore practical applications of pressure calculations in automotive contexts
  • Investigate the effects of temperature on tire pressure in various conditions
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Automotive enthusiasts, tire maintenance professionals, and anyone interested in understanding the relationship between temperature and pressure in closed systems.

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How do I determine pressure in psi, if I know the temperature. Like I aired my tires up to 80psi at 80F, how would I calculate what the pressure in my tires would be at 90F?
 
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With a constant volume: P1/T1=P2/T2. T is absolute temperature, so 80F is actually 80+460=540 R (Rankine scale).
 

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