Calculating Tire Pressure: Ideal Gas Law and Temperature Change

  • Thread starter zcabral
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In summary, the tire pressure can be calculated using the formula Pv=nRT and setting up a ratio of initial and final values. After plugging in the given numbers, the tire pressure is found to be 4.15 Pa, but this may be incorrect if the conversion from atmospheric pressure to pascals was not done correctly. It is important to use consistent units when solving for pressure.
  • #1
zcabral
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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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  • #2
make sure you have the same units for p1 and p2
 
  • #3
yes i checked it. i used 1 atm for the original pressure and then changed it to pa
 
  • #4
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 [tex]1.013\times 10^5[/tex] (did you use that number?), so the pressure your getting in your first post is tiny.
 

1. What is pressure and how is it measured?

Pressure is defined as the force applied per unit area. It can be measured using a device called a pressure gauge, which typically uses a liquid or gas to indicate the pressure exerted on it.

2. Why is it important to find pressure?

Pressure is an important physical quantity in many fields, such as physics, engineering, and meteorology. It helps us understand the behavior of fluids, gases, and solids under different conditions and is crucial in designing and operating various systems and machines.

3. What are some common units used to measure pressure?

The most commonly used units to measure pressure are Pascal (Pa), atmosphere (atm), bar (bar), and pounds per square inch (psi). In some fields, other units like torr, millibar, or kilopascal (kPa) may also be used.

4. How do you calculate pressure?

Pressure can be calculated by dividing the force exerted on an object by the area over which the force is applied. This can be expressed mathematically as P = F/A, where P is pressure, F is force, and A is area.

5. What are some practical applications of finding pressure?

Finding pressure has many practical applications, such as measuring blood pressure in medicine, monitoring tire pressure in vehicles, and determining water pressure in plumbing systems. It is also used in weather forecasting, scuba diving, and studying the behavior of gases in chemistry experiments.

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