Calculating Tire Pressure: Ideal Gas Law and Temperature Change

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The discussion focuses on calculating tire pressure using the ideal gas law, specifically the equation P1V1/T1 = P2V2/T2. The original air temperature is 10.0°C, and after compression to 26.0% of its volume and heating to 32.0°C, the pressure needs to be determined. A participant initially calculated the pressure as 4.15 Pa but was informed that this value is incorrect due to unit conversion errors. It was suggested that the atmospheric pressure should be converted to pascals, approximately 1.013 x 10^5 Pa, to obtain the correct result. Accurate unit conversion and inclusion of initial pressure are crucial for solving the problem correctly.
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Homework Statement


An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 26.0% of its original volume and the temperature is increased to 32.0°C.
What is the tire pressure? Pa




Homework Equations


Pv=nRT P1V1/T1= P2V2/T2


The Attempt at a Solution



i used p1v1/t1=p2v2/t2 and got 4.15 Pa but it was wrong
 
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make sure you have the same units for p1 and p2
 
yes i checked it. i used 1 atm for the original pressure and then changed it to pa
 
Hi zcabral,

It's difficult to follow your calculation without knowing the numbers you put into your calculation.

However, here I think you forgot to include p1 in your calculation. Or did you not convert it? Atmospheric pressure in pascals is about 1.013\times 10^5 (did you use that number?), so the pressure your getting in your first post is tiny.
 

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