Olympic cyclists fill their tires with helium to make them lighter. Calculate the mass of air in an air-filled tire and the mass of helium in a helium-filled tire. What is the mass difference between the two? Assume that the volume of the tire is 855 mL, that it is filled to a total pressure of 125 psi, and that the temperature is 25°C. Also, assume an average molar mass for air of 28.8 g/mol.

A pair of concentric glass cylinders, with diameters of 1 and 1.05 cm, respectively are held together in such a way that both annular ends are open to the flow of fluids. The pair of cylinders with its axis vertical are so placed that the open end is slightly below the surface of a reservoir of silicone oil at 25 deg. C. What is the expected height of the oil into the annular space between the cylinders? Take o=0.019 N/m and p=900 kg/m³.

Calculate the total energy, in kilojoules, that is needed to turn a 12 g block of ice at 0 degrees C into water vapor at 135 degrees C.

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