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Assuming these are aluminum soda cans...

For this problem, you want to first know the area one soda can takes up. If the diameter of a typical can is 6.5 cm, then the area of the base is about 33 cm2. Then we find the combined area of one mole of cans. One mole is 6.02 × 1023, so 33 × (6.02 × 1023) = 1.99 × 1025 cm2. This number represents the total area taken up by one mole of cans.*

Now we need to find the surface area of the earth and change either one so the units are compatible. Wikipedia says the surface area of the earth is 510,072,000 km2.

We'll take the area of the earth and change it to cm2 using unit conversion.

510,072,000 km2 × (100,000 cm ÷ 1 km)2 = 5.10072 × 1018 cm2

We can then compare that with the area of cans, and we will realize that the area taken by the cans (1.99 × 1025) is larger than the surface area of the earth (5.10072 × 1018). So we can say conclusively that one mole of cans will be able to cover the earth.

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* Note that if you place cans one after another, a certain amount of space will be taken up in addition to the area of the base of the cylinder because of the circular shape. But because just the area of the base without the extra space was enough to cover the earth, we don't need to do further calculations. If the area of the base only was not enough to cover the earth, then you might want to account for the extra space.

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14y ago
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7mo ago

No, a mole of cans would only cover a few square meters. A mole is a unit used in chemistry to represent 6.022 x 10^23 molecules, so even if each can takes up only a small space, this number of cans would not be able to cover the entire surface area of the Earth.

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Q: Can a mole of cans cover the earth?
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How many grams of aluminum are there in a mole of soda cans from here to the sun?

Assuming a standard soda can contains about 14 grams of aluminum, and the distance from the Earth to the Sun is about 150 million kilometers, and a mole of anything contains approximately 6 x 10^23 units, you would have about 8 x 10^19 grams of aluminum in a mole of soda cans placed end to end from here to the Sun.


How many times would a mole of 4x6 pictures cover the entire world?

Assuming each picture has dimensions of 4 inches by 6 inches, a mole (6.022 x 10^23) of these pictures would cover an area of approximately 365 million square kilometers. This would be more than enough to cover the entire surface area of the Earth multiple times over.


If a mole of atoms were spread uniformly over the surface of the Earth how many atoms would there be per square meter?

There are approximately 6 x 10^23 atoms in a mole. The surface area of the Earth is about 5 x 10^14 square meters. So, if a mole of atoms were spread uniformly on the Earth's surface, there would be around 1.2 x 10^9 atoms per square meter.


Do aluminum cans and iron cans are solution or mixture?

are aluminum cans and iron cans a mixture or a solution


Is it true there are the same numbers of atoms in the products as there are in there reactants?

In a chemical reaction, the total number of atoms of each element must be equal on both sides of the reaction. This is known as the law of conservation of mass. However, the actual arrangement of atoms may differ between reactants and products.

Related questions

If you had a mole of MM's how many times could cover the surface of the earth?

7 times


How many grams of aluminum are there in a mole of soda cans from here to the sun?

Assuming a standard soda can contains about 14 grams of aluminum, and the distance from the Earth to the Sun is about 150 million kilometers, and a mole of anything contains approximately 6 x 10^23 units, you would have about 8 x 10^19 grams of aluminum in a mole of soda cans placed end to end from here to the Sun.


A mole of 457 ml soda cans stacked on top of one another would reach from here to the sun how many times?

The distance from Earth to the sun is approximately 93 million miles. By assuming the height of a soda can is around 12 cm, you would have about 7595 cans per kilometer. Thus, a mole of 457 ml soda cans stacked on top of one another would reach from here to the sun about 404 times.


A mole of BBs would cover the state of Ohio to what depth?

A mole of BBs would cover the state of Ohio to what depth?


A mole of basketballs would cover the surface of the earth to a depth of how much?

Assuming a basketball has a diameter of around 24 cm (0.24 m), and the earth's surface area is roughly 510 trillion square meters, a mole of basketballs (6.022 x 10^23 basketballs) would cover the earth to a depth of approximately 1.2 meters.


How many cans of paint are needed to cover an area of 2200 square units if one can of paint cover an area of 400 square units?

2200/400 = 5.5 cans


How many cans of paint are needed to cover an area of 2200 sq units if one can of paint cover an area of 400 sq units?

The answer is 5.5 cans. You figure this by basic division: (2200 units) / (400 units per can) = 5.5 cans


Who has the largest back mole on earth?

It is impossible to determine who has the largest back mole on Earth as there is no way to measure or track this information. Mole size can vary greatly among individuals.


How big is a mole of ping pong balls?

According to a couple of sources I looked at (e.g. www.brookings.k12.sd.us/krscience/open/cells/moles.ppt), a mole of ping pong balls would cover the entire surface of the earth to a depth of 60 miles!


What should you do with your mole?

You can get moles removed or cover it in make-up.


What caused a hole in the earth?

A mole or a worm.


If 12 million cans were formed into a sphere what would its radius be?

It would greatly depend on what size cans and of what material they were made. Aluminum 12oz beverage cans would not cover as big a sphere as far as Number 10 food cans.