A hollow silver (?Ag = 1.050 ✕ 104 kg/m3) spherical shell of mass m = 0.9140 kg floats in water with its entire volume below the surface. (Assume the temperature of the water is 4°C. Enter your answers to at least four significant figures.) (a) What is the radius of the sphere? mm (b) What is the thickness of the shell wall? mm
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A hollow silver
spherical shell of mass
floats in water with its entire volume below the surface. (Assume the temperature of the water is 4°C. Enter your answers to at least four significant figures.)
mm
(b) What is the thickness of the shell wall?
mm
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- An ideal gas in a 1.25-gallon[gal] container is at a temperature of 135 degrees Celsius [°C] and pressure of 2.4 atmospheres [atm]. If the gas is oxygen (formula: O2, molecular weight=32 grams per mole [g/mol]), what is the amount of gas in the container in units of grams [g]?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.Large helium-filled balloons are used to lift scientific equipment to high altitudes. What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 20.8°C and rises to an altitude where its volume is sixteen times the original volume and its temperature is −35.7°C? (Enter your answer to at least 3 decimal places) What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.)
- At standard temperature and pressure, a gas has a density of 0.089 kg/m3. What volume (in m3) does 1.84 kg of hydrogen occupy at standard temperature and pressure [round your final answer to one decimal place]?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.A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a. If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.