Question & Answer: How many kilograms of phosphorous are in a sample containing 2.50E+30 phosphorous…..

How many kilograms of phosphorous are in a sample containing 2.50E+30 phosphorous atoms? Use “E” for “×10″ and use significant figures.

Expert Answer

Answer

phosphorous molecular wt = 30.97 g/mole

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1 mole of phosphorous contains = 6.022 x 1023 phosphorous atoms (Avogadro’s number) = 30.97 g

We need to calculate the weight of 2.50x 1030 phosphorous atoms.

Weight of the sample = (2.50x 1030 atoms x 30.97 g)/6.022 x 1023 atoms = 1.286 x 108 g = 1.286 x 105 Kg

The answer is 1.286 x 105 Kg of phosphorous.(three significant figures)

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