Question #dd146

1 Answer
Stefan V.
Oct 19, 2015

"9.3 moles"9.3 moles

Explanation:

To find how many moles you get in one kilogram of silver you need to use silver's molar mass.

A substance's molar mass tells you what the exact mass of one mole of that substance is.

In silver's case, its molar mass is listed as "107.8682 g/mol"107.8682 g/mol. This tells you that one mole of silver has a mass of "107.8682 g"107.8682 g.

"1 mole of Ag" -> "107.8682 g"1 mole of Ag→107.8682 g

All you have to do now is figure out how many moles would fit, so to speak, in one kilogram. Convert this mass from kilograms to grams first

1color(red)(cancel(color(black)("kg"))) * "1000 g"/(1color(red)(cancel(color(black)("kg")))) = "1000 g"

This means that you have

1000color(red)(cancel(color(black)("g Ag"))) * "1 mole Ag"/(107.8682 color(red)(cancel(color(black)("g Ag")))) = "9.2706 moles Ag"

of silver in one kilogram of silver.

I'll round this number off to two sig figs to get

n = color(green)("9.3 moles Ag")

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