The pressure 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 44°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. The gas constant of air is R = 0.287 kJ kPa-m³ kJ kg.K The pressure rise in the tire is The amount of air that must be 210.2 kPa. bled off to restore pressure to its original value is 0.000825 kg. = 0.287 kPa-m³ kg.K

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The pressure 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 44°C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature.
kJ kPa.m³
kJ
Assume the atmospheric pressure to be 100 kPa. The gas constant of air is R = 0. 287-
= 0.287
kg-K
The pressure rise in the tire is
210.2 kPa.
The amount of air that must be bled off to restore pressure to its original value is 0.000825 kg.
kPa.m³
kg.K
Transcribed Image Text:The pressure 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 44°C. Also, determine the amount of air that must be bled off to restore pressure to its original value at this temperature. kJ kPa.m³ kJ Assume the atmospheric pressure to be 100 kPa. The gas constant of air is R = 0. 287- = 0.287 kg-K The pressure rise in the tire is 210.2 kPa. The amount of air that must be bled off to restore pressure to its original value is 0.000825 kg. kPa.m³ kg.K
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