If you stacked 1 sheet of paper on top of another piece of paper until you had 1 mole pieces of paper, how tall would the stack of paper be in miles?

Question

A “ream” of paper is 500 individual pieces of paper and 1 ream measures 2.50 cm thick.

(1609m=1mi.) Solve using dimensional analysis

Answer 1

Let's use dimensional analysis to solve this problem.

New information provided:

1 ream = 500 pieces of paper

1 ream = 2.50 cm tall

1609 m = 1 mi

Relevant outside information:

1 mole = 6.02*10^23 units

100 cm = 1 m

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1 mole pieces of paper * 6.02*10^23 units/mole = 6.02*10^23 pieces of paper

6.02*10^23 pieces of paper * 1 ream/500 pieces of paper = 1.20*10^21 reams of paper

1.20*10^21 reams of paper * 2.5 cm/1 ream = 3.01*10^21 cm tall

3.01*10^21 cm * 1 m/100 cm = 3.01*10^19 m tall

3.01*10^19 m * 1 mi/1609m = 1.87*10^16 mi tall

Hope this helped!