Question

A mole of 1 gallon cans of paint could cover every square inch of the surface of how many planets the size of the earth?

Answer 1

The answer is
`4.4*10^1^0 planets`

Explanation:

We ll have to find more information first to solve this question.

1. One mole = 6.022 x 10^23

Assuming one gallon of paint covers the 400 sq ft of area.

Thus total area which can be covered by 1 mole of gallon is

`=6.022*10^2^3 * 400\\=2.40*10^2^6`

2. Now we will find the surface area of earth

`Area = 4\pi R^2`

The radius of earth is 2.1 x 10^7 Feet

substituting values

`Area = 4*3.14*(2.1*10^7)^2\\Area = 5.5*10^1^5ft^2`

3. Now we will find out the number of planets of earth size which can be covered by mole of gallon of paint

= Total area one mole of gallon can cover / area of earth

`= 2.40 * 10^2^6/5.5*10^1^5\\=4.4*10^1^0 planets`