Question 900459: In the manafacturing of computer chips, cylinders of silicon are cut into thin wafers that are 3.00 inches in diameter and have a mass of 1.50 grams of silicon. How thick in millmeters is each wafer if silicon has a density of 2.33 grams per centimeter cubed?
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Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In the manafacturing of computer chips, cylinders of silicon are cut into thin wafers that are 3.00 inches in diameter and have a mass of 1.50 grams of silicon. How thick in millmeters is each wafer if silicon has a density of 2.33 grams per centimeter cubed?
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Let the thickness be "t".
Volume of a wafer = area*t = (pi*1.5^2*t) = 2.25pi*t cu.inches
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Note: 1 cubic inch = 16.39 cu cm
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Volume of wafer = 2.25*16.39*pi*t = 37.88pi*t cu cm
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Using the conversion that says each cu cm = 2.33 grams, use
the unit multiplier to solve for "t"::
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((37.88 pi)*t cu cm)(2.33 grams/cu cm) = 1.5 grams
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t = 0.0054 cm
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Cheers,
Stan H.
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