Use the Clausius-Clapeyron relation to calculate the boiling point of water on top of Mount Everest, where the pressure is 0.35 atm.
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- I put air in the tires of my car during the summer, while it was 28.8 °C outside (about 83.8 °F). My tires say to fill them to a pressure of 203,000 Pa. Boltzmann's constant is 1.38 * 10 ^ - 23 * J / K A) If my tires have a volume of 0.0100 m³, how many air molecules are in the tire? N = molecules B) These tires go all summer without losing any air, however come fall the temperature drops down to 8.65 °C (about 47.6 °F). Assuming the volume doesn't change (because it doesn't) what is the new pressure in my tires? P=In 2085, your company wins a contract to deliver oxygen to several asteroid-based habitats from another asteroid with plenty of oxygen locked up in ice. Since there is no drag in space, the size of the oxygen containers is not an issue, and the most economical method turns out to be to enclose about 6 x 105 kilograms of cold but gaseous oxygen at about half atmospheric pressure in a Mylar sphere 100 m in diameter. To the sphere, you have strapped a small rocket engine. While the engine is firing, the engine presses into the sphere roughly 10 meters, like a finger pushing in on a balloon, as the sphere accelerates. The engine exerts a constant thrust until the sphere reaches its interasteroidal cruising speed of 100 m/s. The sphere travels about 5.0 km while the engine is firing. What fraction of the energy the rocket engine has given to the sphere ends up as internal energy in the gas just before the engine shuts off?Jason wants to use a Pilates ball as a desk chair. The Pilates ball has a diameter of 65cm, and is filled to a recommended air pressure of 0.9 PSI. What is the average force of the air inisde the Pilates ball pushing out? If the ball is filled with carbon dioxide (CO2) at 22 degrees C, how many molecules of CO2 are in the ball? (Area of a sphere = 4pir^2, Volume of a sphere = 4/3pir^3)
- 8 7. V %24 因/ロ 6) f8 E3 9F f5 SNSV 直。 = d psi (Note the units!) %3D poom surface of the oil. (1 psi = 6.895 kPa) Calculate the gauge pressure in psi at 13.6 cm below the %3D sides, a 2.8-kg wooden disk supports a O.5-kg potato. partially filled with oil of density 0.87 × 103 kg/m³. The figure shows a glass cylinder of radius 6.8 cm, Floating freely on top with no oil leaking around theThe gauge pressure in your car tires is 2.55 × 105 Pa at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska. What is the gauge pressure of the tires, in pascals, later when the temperature has dropped to -40.0°C? Assume the volume of each tire does not change.Consider a large 10.0 kg striped bass swimming in fresh water. When neutrally buoyant, 10% of the total volume of the fish is taken up by air im the swim bladder. Assume a constant bodyy temperature of 20 degrees C. and neglect the mass of the air in your calculations. a) What is the volume of the swim bladder, in m^3, when the fish is neutrally bouyant? B) What is the water pressure at a depth of 25m? C) How many moles of air ar in the swim bladder when the fish is neutrally bouyant at a depth of 25m? D) What will the volume of the swim bladder be if the fish ascends to a depth of 15m without changing the quantity of gas?