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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- Problem 7: Suppose a table tennis ball has a diameter of 3.95 cm. Calculate the depth, in kilometers, to which Avogadro’s number of table tennis balls would cover the Earth. Assume the space between balls adds an extra 25.0% to their volume and assume they are not crushed by their own weight. The radius of Earth is 6.376 × 106 m.Suppose you have a closed rigid container of air at 20 Celsius on the surface of the Earth. We change the temperature of the container to 48 Celsius, leaving it closed, and read a pressure gauge attached to the container. Initially the reading was 101 KPa (kilopascals, or 1000 N/m2). What is the new reading? Give your answer in KPa.1. A bicycle pump inflates a tire of volume 565 mL until the gauge pressure is 6.47 bar at a temperature of 21.7°C. (Note: the volume of the tire before and after it is "inflated" is 565 mL. Initially, the tire contains air at ambient atmospheric pressure.) (a) If the barometric pressure is 1.01 bar, what is the absolute pressure in the tire? (b) (c) How many moles of air does the tire contain? What volume of air at 1.01 bar and 21.7°C did the pump transfer?
- An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During the process, the air is compressed to 27.0% of its original volume and the temperature is increased to 38.0°C. (a) What is the tire pressure in pascals? Use the ideal gas law to find the pressure inside the tire from its volume and temperature. Pa(b) After the car is driven at high speed, the tire's air temperature rises to 85.0°C and the tire's interior volume increases by 3.00%. What is the new tire pressure (absolute) in pascals?The gauge pressure in your car tires is 2.55 × 105 Pa at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska. What is the gauge pressure of the tires, in pascals, later when the temperature has dropped to -40.0°C? Assume the volume of each tire does not change.Suppose you have a closed rigid container of air at 20 Celsius on the surface of the Earth. We increase the temperature of the container to 77, leaving it closed, and read a pressure gauge attached to the container. Initially the reading was 101 KPa (kilopascals, or 1000 N/m2). What is the new reading? Give your answer in KPa.