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- A basketball is pressurized to a gauge pressure of PG = 55 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. Calculate the absolute pressure inside the basketball in kPa when it is at the surface. Write an equation for the pressure difference ΔP between the inside and outside of the ball when it is submerged a distance y below the surface of the water. 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.A chamber is filled with a gas that has a pressure of 0.250 atm and ???is connected to a mercury-filled u-tube with a width of 0.01m. The left side of the tube is closed and there is a vacuum at the top of the tube. How much higher is the mercury on the left-hand side compared to the right-hand side?A house weighs 12,000 pounds. a. Air normally has a density of 1.29 kg/m^3 but at 250 degrees air has a density of 0.9 kg/m^3. What volume of hot air balloon is needed to float this house off the ground? b. At standard temperature and pressure Helium has a density of 0.16 kg/m^3. How many 30 cm diameter helium balloons will it take to float the house?
- At the surface of a freshwater lake, the pressure is 105 kPa. What is the approximate pressure decrease in going 42.6 m above the surface? Air at 20°C has density of 1.20 kg/m3. in kPa What is the approximate pressure decrease in going 42.6 m above the surface? Air at 20°C has density of 1.20 kg/m3. In paAt standard temperature and pressure, a gas has a density of 0.089 kg/m3. What volume (in m3) does 1.25 kg of hydrogen occupy at standard temperature and pressureA 2.5-m-tall steel cylinder has a cross-sectional area of 1.5 m2. At the bottom, with a height of 0.5 m, is liquid water, on top of which is a 1-m high layer of gasoline, relative density of 0.8. The gasoline surface is exposed to atmospheric air at 101 kPa. What is the total mass of the liquid in the cylinder? 2000 kg O 1250 kg O 3250 kg O 1625 kg
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