Find the number of molecule per unit volume of oxygen at N.T.P. (Mass of oxygen molecule = 5.313 × 106 kg. R.M.S. speed of oxygen molecules at N.T.P. = 461.2 m/s and 1 %3D atmosphere pressure = 1.013 × 10 N/m²).
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- The volume of an automobile tire is 2.5x10^-2m^3. The pressure of the air in the tire is 3.3 atm and the temperature is 25C°. What is the mass of air in grams? The mean molecular mass of air is 29g. Calculate to 2 decimals.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.You are making banana bread and the recipe calls for 3/4 cup of vegetable oil and one egg yolk. You measure out your oil in a measuring cup and then just toss the egg yolk into the oil before mixing with the dry ingredients. The egg yolk has a mass of 9.9 grams and floats with 71 % of its volume under the surface of the oil. You also know that the density of the oil is Poil 0.95 cm³ What volume of oil is displaced by the egg yolk? cm3 What is the total volume of the egg yolk? cm³ What is the density of the egg yolk? g cm3 Imagine the egg yolk was floating in a salt-water solution instead (Pwater = 1.04 % .). What percentage of the yolk would be submerged in water? cm³
- An outdoor, rectangular pool on campus is 4.5 meters [m] in width and 7.5 meters [m] in length. You may assume the depth of the pool is constant. If the pool is filled with pure water, the total pressure probe at the bottom of the pool reads 16.5 pound-force per square inch [psi]. What is the volume of the water in the pool in units of kiloliters [kL]? Length Force Mass Pressure 1 ft=12 in 1 N=0.225 lbf 1 kg=2.205 lbm 1 atm=101325 Pa 1 in=2.54 cm 1 slug = 14.5939 kg 1 atm=14.7 psi 1 m=3.28 ft Density of water=1000 kg/m3 Surface pressure=1 atmWhat is the pressure of the gas in the cylinder, in kPa (kiloPascal)? h = 0.620 m, Pmercury = 13,600 kg/m3, 1.0 atm = 1.00 x 105 Pa = 100 kPa, and g = 10.0 m/s?. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Mercury. p = 13,600 kg/m² PenA cube 7.81 cm on each side is made of a metal alloy. After you drill a cylindrical hole 1.62 cm in diameter all the way through and perpendicular to one face, you find that the cube has a mass of 0.56 kg. What is the density of this metal? Use π=3.14 . Express your answers in kgm3 and in whole numbers (NOT SCIENTIFIC NOTATION).
- The Ekman number, Ek, arises in geophysical fluid dynamics. It is dimensionless parameter combining seawater density ρ, a characteristic length L, Seawater viscosity μ, and the Coriolis frequency Ωsinφ, where Ω is the rotation rate of the earth and φ is the latitude angle. Determine the correct form of Ek if the viscosity is in the numerator.A helium-filled balloon has volume 3.8_m³, temperature 25.4°C, and pressure 1 atm while at sea level. If the balloon rises to 27000 ft, where the temperature is 3.5°C and the pressure is about 1/3 of its sea-level value, then find the new volume of the balloon. 10.56.m3 20.65_m3 18.71 m3 19.31 m3 А. D. 7.678 m3 20.74 m3 В. Е. С. F.What is the approximate mass of the air in our 10 m × 12 m × 4 m physics lab? The density of air is 1000 g/cm3. Convert density to kg/m^3
- Which of the following is true for the situation below? po is the atmospheric pressure, p is the density of the mercury. Pgas - Mercury 16 cm 6 ст Pgas = PO Pgas + Pg(0.06m) = PO Pgas = Po + pg(0.10m) Pgas = Po + pg(0.16m) O Pgas + Pg(0.10m) = Po %3D pgas + pg(0.16m) = Po Pgas = Po + pg(0.06m)A submarine dives down to a depth 80 metres beneath the surface of the ocean. Calculate the pressure in atmospheres at that depth, assuming the density of water is 1029 kg/m3, and the air pressure at the surface is 105.2 kPa. Give your answer with two digits of precision. Note: 1 standard atmosphere is 101325 Pa. Your Answer: Answer31. A container has initial gauge pressure of 0 kPa and air volume of 0.5 m³. When the air volume of the container is reduced to 0.3 m³, the corresponding gauge pressure is (a) 54.22 kPa (b) 67.55 kPa