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Suppose you have Avogadro\'s number of mini marshmallows and use them to cover the state of Nebraska which has a land area of 7.687 × 104 mi2. Each mini marshmallow has a diameter of 0.635 cm and a height of 2.54 cm. Assuming the marshmallows are packed together so there is no space between them, to what height above the surface, in kilometers, will the mini marshmallows extend?

Question

Suppose you have Avogadro\'s number of mini marshmallows and use them to cover the state of Nebraska which has a land area of 7.687 × 104 mi2. Each mini marshmallow has a diameter of 0.635 cm and a height of 2.54 cm. Assuming the marshmallows are packed together so there is no space between them, to what height above the surface, in kilometers, will the mini marshmallows extend?

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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 cyclindrical.

Dia of each mini marshmallow = 0.635 cm

Height of each mini marshmallow = 2.54 cm

Number of mini marshmallow = Avogadro\'s number = 6.022 x 1023 

Land area of Nebraska = 7.687 x 104 mi2

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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Step 3

Now, since we have the diameter and height of mini marshmallow, let us...

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