A pycnometer is a glass flask with a tight fitting glass stopper that can be used to determine the density of an insoluble solid by measuring the volume of water ejected out of the pycnometer when sample of the solid is placed in it. Determine the density in g/cm' of an unknown metal alloy sample from the following measurements. Assume the density of water is 1.000 g/cm?. Mass of clean pycnometer = 25.151 g Mass of clean pycnometer plus water = 42.481 g Mass of clean pycnometer plus metal sample = 40.205 g Mass of clean pycnometer plus metal plus water = 54.265 g (after ejected water is dried from the outside surface)

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A pycnometer is a glass flask with a tight fitting glass stopper that can be used to determine the density of an insoluble solid by measuring the volume of water ejected out of the pycnometer when sample of the solid is placed in it. Determine the density in g/cm' of an unknown metal alloy sample from the following measurements. Assume the density of water is 1.000 g/cm?. Mass of clean pycnometer = 25.151 g Mass of clean pycnometer plus water = 42.481 g Mass of clean pycnometer plus metal sample = 40.205 g Mass of clean pycnometer plus metal plus water = 54.265 g (after ejected water is dried from the outside surface)
Expert Solution
Step 1 Calculate the volume of ejected water

Mass of clean pycnometer = 25.151 g

Mass of clean pycnometer plus water = 42.481 g 

Initial mass of water = 42.481 g -25.151 g = 17.33 g 

Mass of clean pycnometer plus metal sample = 40.205 g

Mass of clean pycnometer plus metal plus water = 54.265 g (after ejected water is dried from the outside surface)

Mass of water left in pycnometer after ejection = 54.265 g - 40.205 g =14.06 g

Mass of water ejected = Initial mass of water -Mass of water left in pycnometer after ejection = 17.33 g -14.06 g =3.27g g 

As density of water is 1.00 g/cm3

so, volume of water = mass of water 

So, volume of water ejected = 3.27 cm3

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