Question

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

Answer 1

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

The land area of california is  1.560 E 5 mi² = 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

Answer 2

The height that avogadro's number of mini marshmallows covering the land area of California will extend is 1199.6 km above the surface.

What is the Avogadro number?

The Avogadro number is a constant which gives the number of elementary particles present in 1 mole of a substance.

The value of the Avogadro number is 6.02 × 10^23

Avogadro number of mini marshmallows = 6.02 ×10^23 mini marshmallows.

Assuming each marshmallow is a small cylinder, then the area of its circular base is:

Area circular base = π*r²

Area circular base = π * (0.635/2)²

Area circular base = 0.317 cm²

6.02 × 10^23 marshmallows will cover an area of 6.02 × 10^23 * 0.317 cm² 

Area covered = 1.908 × 10^23 cm² = 1.908 × 10^13 km²

The land area of california is  1.560 × 10^5 mi² = 4.04 × 10^5 km²

The number of times the 6.02 × 10^23 marshmallows will cover the land area of California is obtained by division:

Number of times = 1.908 × 10^13 km² / 4.04 × 10^5 km² =  4.7227 ×10^7 times

To obtain the height of the mini marshmallows, the height of a mini marshmallow is multiplied by the number of times the mini marshmallows will cover the land area of California.

Height = 4.7227 × 10^6 * 2.54 cm

Height = 1.1996 ×10^6 cm

Height in kilometres = 1199.6 km above the surface

Therefore, the height of avogadro's number of mini marshmallows covering the land area of California is 1199.6 km above the surface.

Learn more about Avogadro's number at: https://brainly.com/question/10614569