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The in an automobile tire depends on the temperature of
Chapter 2, Problem 12P(choose chapter or problem)
Problem 12P
The in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25°C, the pressure gage reads 210 kPa. If the volume of the tire is 0.025 m3, determine the pressure rise in the tire when the air temperature in the tire rises to 50°C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature. Assume the atmospheric - pressure to be 100 kPa.
FIGURE P2-14
Questions & Answers
QUESTION:
Problem 12P
The in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25°C, the pressure gage reads 210 kPa. If the volume of the tire is 0.025 m3, determine the pressure rise in the tire when the air temperature in the tire rises to 50°C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature. Assume the atmospheric - pressure to be 100 kPa.
FIGURE P2-14
ANSWER:
ANSWER:
Step 1:-
The gas inside the tire we are treating here as an ideal gas which obeys the equation,
--------------------(1)
The initial temperature was, .
The final temperature is, .
The initial pressure was,
This is the actual pressure.
The volume of the tire remains constant.