Question
Asked Sep 5, 2019
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Suppose there is Avogadro's number of mini marshmallows and they
land area of 9.177 x 10' km2. Each mini marshmallow has a diameter of 0.635 cm and a height of 2.54 cm.
are used to cover the province of Ontario, which has a
Assuming the
so there is no space between them, to what height above the surface, in kilometers, will the
marshmallows are
packed together
mini marshmallows extend?
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Suppose there is Avogadro's number of mini marshmallows and they land area of 9.177 x 10' km2. Each mini marshmallow has a diameter of 0.635 cm and a height of 2.54 cm. are used to cover the province of Ontario, which has a Assuming the so there is no space between them, to what height above the surface, in kilometers, will the marshmallows are packed together mini marshmallows extend?

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Expert Answer

Step 1

It is required to calculate, to what height above the surface, in km, will the mini marshmallow extend. Since the shape of mini marshmallow is not mentioned, assuming it to be cylindrical.

Diameter of each mini marshmallow (d) = 0.635 cm

Height of each mini marshmallow (h) = 2.54 cm

Number of mini marshmallows = Avogadro's number = 6.022 x 1023 

Land area of Ontario = 9.177 x 105 km2

Step 2

Since we require the height in km, converting all the given values in km, which is done as follows,

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1 cm 10-5 km d 0.635 cm 0.635 x 105 km h 2.54 cm 2.54 x 10-5 km

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Step 3

Now let us calculate the volume occupied by 6.022 x 1023...

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Total volume Nx {Volume of one marshmallow} d2 x h Total volume = 6.022 x 1023 x {IIx 4 Total volume = 6.022 x 1023 x 3.14 x635 x 10 x 2.54 x 10-5 4 Total volume= 484408549.7 km3

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