An object will float at the surface of a liquid if the mass of the object is less than the mass of the liquid that it displaces. A spherical vessel (diameter = 5.00 cm)when empty has a mass of 12.00 g. What is the greatest volume of water that can be placed in the vessel and still have the vessel float at the surface of benzene? (Given: density of water = 1.00 g/cm³; density of benzene = 0.879 g/cm³) A)45.5 mL B)448 mL C)53.4 mL D)57.5 mL E)65.4 mL

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Quizplus · Accepted Answer

The correct answer is A.The greatest volume of water that can be placed in the vessel and still have the vessel float at the surface of benzene is 45.5 mL. This is because the mass of the water that the vessel displaces is equal to the mass of the vessel itself, which is 12.00 g. The density of water is 1.00 g/cm3, so the volume of water that the vessel displaces is 12.00 cm3. The density of benzene is 0.879 g/cm3, so the mass of benzene that the vessel displaces is 10.55 g. The mass of the vessel and the mass of the water that it displaces is greater than the mass of the benzene that it displaces, so the vessel will float at the surface of benzene.

An Object Will Float at the Surface of a Liquid