13.2 Soapy water has a surface tension of 0.025 N m-. A small bubble initially of radius r¡ = 2 mm is formed. The air pressure in the vicinity of the bubble is 100 kPa. (a) What is the gauge pressure inside the bubble AP ? The bubble expands to a radius of 12 = 4 mm. (b) What is the gauge pressure inside the bubble now AP2? (c) what is the ratio of the gauge pres- sures AP2
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- 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 paI got 680 N is this correct?
- A vertical, frictionless piston-cylinder device contains a gas at 600 kPa absolute. The atmospheric pressure outside is 100 kPa absolute. The piston has a diameter of 50 mm. a) Determine the mass of the piston. b) If the mass of the piston is now halved ---- what would be the gauge pressure of the gas?The highest building in Montreal is the '1 square building, with a height of 203m. The atmospheric pressure in the streets of Montreal is P1 = 9.9 x 104 Pa. Suppose air density is constant : Pair = 1,2 kg/m³ and g = 9.8 m/s?. a. Find the pressure difference between the streets and the rooftop of the '1 square building' b. Find the pressure on the rooftop. Suppose the rooftop temperature to be T = 298K, and the air composition is 100% N2 molecules. *c. Find the root-mean-square speed (Vms ). *d. How would you find the probability for a molecule picked randomly to have a speed in the range vrms and Vrms+5.0 m/s. (No calculations needed) *e. Find the ratio between the most probable speed (vmp) and the mean speed (vmean). The collision cross-section of N2 molecules is 0.43 nm?. *f. Find the collision frequency. Is it in the order of magnitude that you were expecting? Now, consider Earth's atmosphere as 80% N2 and 20% 02. (No calculations needed) *g. Explain if larger, smaller, or equal to…A light balloon is filled with 397 m3 of helium at atmospheric pressure. (a) At 0°C, the balloon can lift a payload of what mass? kg (b) In the table below, observe that the density of hydrogen is nearly half the density of helium. What load can the balloon lift if filled with hydrogen? | kg Densities of Some Common Substances at Standard Temperature (0°C) and Pressure (Atmospheric) Substance p(kg/m³) p(kg/m3) Substance 0.917 X 10 7.86 X 10 Air 1.29 Ice Aluminum 2.70 X 10 Iron Benzene 0.879 X 103 Lead 11.3 X 10 Copper 8.92 X 103 Mercury 13.6 X 103 Ethyl alcohol Fresh water 0.806 X 10% Oak 0.710 X 10 1.00 X 10 Oxygen gas 1.43 Glycerin 1.26 X 103 Pine 0.373 X 103 19.3 X 10 1.79 X 10-1 21.4 X 10 1.03 X 10 10.5 X 103 Gold Platinum Helium gas Seawater Hydrogen gas 8.99 X 10-2 Silver
- Tire gauges for air pressure, as well as most other gauges used in an industrial environment take into account the pressure due to the atmosphere of earth. That's why your car gauge reads 0 before you put it on your tire to check your pressure. That is called gauge pressure. The real pressure within a tire or other object contains pressurized stuff would be a combination of what the gauge reads as well at the atmospheric pressure. If a gauge on a tire reads 40.16 psi, what is the real pressure in the tire in pascals. The atmospheric pressure is 1.01x10^5 Pa.When you hold your hands at your sides, you may have noticed that the veins sometimes bulge—the height difference between your heart and your hands produces increased pressure in the veins. The same thing happens in the arteries. Estimate the distance that your hands are below your heart. If the average arterial pressure at your heart is a typical 100 mm Hg, what is the average arterial pressure in your hands when they are held at your side?The four tires of an automobile are inflated to a gauge pressure of 2.0 x 10° Pa. Each tire has an area of 0.022 m in contact with the ground. Determine the weight of the automobile. N Need Help? Read It