On average, Earth’s crust contains about 8.1% aluminum by mass. If a standard 12-ounce soft drink can contains approximately 15 g of aluminum, how many cans could be made from 1 ton of the Earth’s crust?

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Answer:

5400 cans

Explanation:

First we convert the total weight, 1 ton, to grams:

[tex]1ton=1x10^{6}g[/tex]

Now we need to know the mass of aluminum:

[tex]m_{Al}=\frac{10^{6}*8.1}{100} =81000g[/tex]

Now we make the relation between the mass of aluminum in 1 ton of the earth's crust and the mass of aluminum per can:

[tex]n=\frac{81000g}{15g/can} =5400cans[/tex]

5,400 cans could be made from 1 ton of the Earth’s crust of aluminum.

How we calculate the number of cans?

We can calculate the number of cans by dividing the total mass of aluminum in earth's crust to the mass of aluminum in one can.

We know that relation between tons and gram is as follow:

1 ton = 10⁶ grams

Given % mass of aluminum = 8.1%

Now, the mass of aluminum in 1 ton can be calculated as:

mass = 8.1 × 10⁶ / 100 = 81,000 grams

Given mass of aluminum in one can = 15 grams

Therefore number of cans = 81,000 / 15 = 5,400

Hence, 5,400 cans can be made.

To know more about % mass, visit the below link:

https://brainly.com/question/26150306