Suppose you have avogadro\'s number of mini marshmallows and use them to cover the state of california which has a land area of

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3 years ago

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Suppose you have avogadro\'s number of mini marshmallows and use them to cover the state of california which has a land area of

1.560 × 105 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

Physics

1 answer:

Marta_Voda [28] · Answer 1 · 2022-03-20T11:37:22+03:00

Avogadro's number is equal to 6.02 E 23

Thie means we have 6.02 E 23 marshmallows.

Assuming each marshmallow to be a small cylinder we can calculate the area of its base

Area circumference = pi*r² = pi * (0.635/2)² = 0.317 cm²

So, 6.02 E 23 marshmallows * 0.317 cm² cover a total area of

Area covered = 1.908 E 23 cm² = 1.908 E 13 km²

<span>The land area of california is 1.560 E 5 mi</span>² = 4.04 E 5 km²

If we divide the Areas >>>>

1.908 E 13 km² / 4.04 E 5 km² = 47. 227 E 6 (This is the number of times the area of California could be filled with those marshmallows)

Now for the height, we multiply this number times the height of each marshmallow

47. 227 E 6 * 2.54 cm = 119.96 E 6 cm = 1199.6 km above the surface