PHYSICS 3B Study Guide - Final Guide: Volumetric Flow Rate, Ideal Gas Law, Waterspout
23 Nov 2015
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Fluids (8 pts: a 7. 50 cm3 air bubble forms underwater at a depth of 45. 0 m, where the temperature is 4. 00. Find the volume of the air bubble when it reaches the surface, where the temperature is. At a depth of 45 m, the pressure is p45 = p0 + g d = 1. 013 105 pa + (1000 kg/m3)(9. 81 m/s2)(45. 0 m) = The absolute temperature is t45 = 277. 15 k. at the surface the temperature is t0 = 288. 15 k. Since the number of molecules in the gas doesn"t change, from the ideal gas law: Solve for v0: v0 = (t0/t45)(p45/p0) v45 = (288. 15k/277. 15k)(542750 pa/101300 pa)(7. 5 cm3) = 41. 8 cm3: a fountain designed to spray a column of water 11. 5 m into the air has a 1. 34-cm-diameter nozzle at ground level. The water pump is 2. 75 m below the ground. The pipe to the nozzle has a diameter of 2. 68 cm.
