How Do Changes in Temperature and Volume Affect Tire Pressure?

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SUMMARY

The discussion focuses on calculating the gauge pressure of an automobile tire filled to 2000 kPa at an initial temperature of 20 degrees Celsius, which increases to 50 degrees Celsius after driving. Using the Ideal Gas Law (PV=nRT), the gauge pressure can be determined under two scenarios: first, with a constant volume, and second, with a 10% increase in volume. The calculations reveal that the gauge pressure increases due to the rise in temperature, demonstrating the direct relationship between temperature and pressure in gases.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Basic knowledge of thermodynamics and gas behavior
  • Familiarity with pressure units (kPa)
  • Concept of gauge pressure vs. absolute pressure
NEXT STEPS
  • Calculate gauge pressure changes using the Ideal Gas Law for varying temperatures
  • Explore the effects of volume changes on gas pressure
  • Study real-world applications of gas laws in automotive engineering
  • Investigate the relationship between temperature, pressure, and volume in different gases
USEFUL FOR

Automotive engineers, physics students, and anyone interested in the principles of thermodynamics and gas behavior in practical applications.

shaiqbashir
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Hi Guys!

im having trouble in solving this prob can u tell me the hints as well as the correct answer of this prob:


an automobile tire is filled to a gauge pressure of 2000 kPa when it is at an air temperature of 20 degree celsius. After the car has been driven at high speed, the tire temperature has increased to 50 degree celsius.

a) assuming that the volume of the tire has not changed, find the gauge pressure of the air in the tire(assuming the air to be an ideal gas).

b) calculate the gauge pressure if the tire expands so that its volume increases by 10 percent.



Thanks in advance
 
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shaiqbashir said:
Hi Guys!

im having trouble in solving this prob can u tell me the hints as well as the correct answer of this prob:


an automobile tire is filled to a gauge pressure of 2000 kPa when it is at an air temperature of 20 degree celsius. After the car has been driven at high speed, the tire temperature has increased to 50 degree celsius.

a) assuming that the volume of the tire has not changed, find the gauge pressure of the air in the tire(assuming the air to be an ideal gas).

b) calculate the gauge pressure if the tire expands so that its volume increases by 10 percent.



Thanks in advance

PV=nRT

Air is an ideal gas for the most part.
 

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