High School

A piece of paper is approximately 0.05 mm thick. Given that 1000 mm = 1 m, how many meters thick is a stack of 1 mole of paper?

Answer :

Final answer:

The thickness of a stack of paper consisting of one mole of sheets would be 3.011 x 10^19 meters when a single sheet is 0.05 mm thick and one mole is 6.022 x 10^23 sheets.

Explanation:

The question involves determining the thickness of a stack of paper when the number of sheets in the stack is equal to one mole, which is a fundamental concept in chemistry known as Avogadro's number (6.022 x 1023). To find the thickness of a mole of paper, we first consider the thickness of a single sheet, which is given as approximately 0.05 mm. To convert this to meters, we use the conversion factor that 1000 mm equals 1 m. Therefore, the thickness of one sheet in meters is 0.05 mm * (1 m / 1000 mm) = 0.00005 m. For a mole of paper, we multiply this number by Avogadro's number: 0.00005 m/sheet * 6.022 x 1023 sheets/mole = 3.011 x 1019 meters.