How many miles deep would a mole of marshmallows (1 cubic inch) be if the container was the continental U.s.? - continental containers
How many miles deep, that a mole of marshmallows (1 cubic inch), if the container is grown on our continent?
the use of significant figures, please
Refrence and 1 mole of things = 6.02 * 10 ^ 23 Things
Monday, January 4, 2010
Continental Containers How Many Miles Deep Would A Mole Of Marshmallows (1 Cubic Inch) Be If The Container Was The Continental U.s.?
1 comment:
First, see how many chocolate bars would be needed to cover the United States again.
According to Wikipedia http://en.wikipedia.org/wiki/Continental (...), the surface of the continental United States, 7,902,634 square kilometers or 7.902634 x 10 ^ 6 km ^ 2nd Let's see how many inches:
7.902634 x 10 ^ 6 km ^ 2 * (10 ^ 5 cm / km) ^ 2 * (1 inch / 2.54 cm) ^ 2 = 1.224911 x 10 ^ 16 in ^ 2
So, if the basis of a marshmallow is 1 ^ 2, which would be 1.224911 x 10 ^ 16 marshmallows to cover the Continental U.S.
Now, if ordered by marshmallows stacked one on how many layers do we get?
6.02 x 10 ^ 23 marshmallows * 1 layer / 1.224911 x 10 ^ 16 marshmallows = 4.914643 x 10 ^ 7 layers.
These chocolates have a height of 1, so that the marshmallows 4.914643 x 10 ^ 7 cm in size run.
4.914643 x 10 ^ 7 x (1 ft / 12 in.) * (1 miles / 5280 meters) = 776 miles.
So to show my calculations, that the marshmallows are 776 miles deep. (I'm about 3 decimal places, because that is how much of 6.02 x 10 ^ 23 ha).
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