The pressure in an automobile tire depends on the tem- perature 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. V = 0.025 m³ T=25YC P,=210 kPa B, `AIR

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.

A basketball is pressurized to a gauge pressure of PG = 75 kPa when at the surface of a swimming pool. (Patm = 101 kPa). The ball is then submerged in the pool of water which has a density ρ = 1000 kg/m3. Assume the ball does not change in mass, temperature, or volume as it is submerged. a) Calculate the absolute pressure inside the basketball in kPa when it is at the surface.  b) Solve the pressure equation for the depth (in meters) at which the pressure difference between the inside and outside of the ball will become zero. At this depth the pressure inside the basketball is the same as the pressure outside the ball.  c) At what depth, in meters, would the pressure difference between the inside and outside of the ball be zero if the ball were submerged in mercury (ρ = 13,500 kg/m3) instead of in water?

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?