Calculate the number of water molecules that would be

Let's calculate the number of water molecules per square centimeter when 1 g of water is evenly distributed over the entire surface of the Earth.

To solve the problem, you need to know the molar mass of water, which is 18 g/mol. You also need to know the surface area of ​​the Earth, which is approximately 510,072,000 square kilometers or 5.1×10¹⁴ square centimeters.

Let's convert 1 g of water to moles by dividing it by molar mass: 1 g / 18 g/mol = 0.0556 mol

To find the number of water molecules, multiply the number of moles by Avogadro's number, which is 6.02 × 10²³ molecules/mol: 0.0556 mol × 6.02 × 10²³ molecules/mol = 3.34 × 10²² molecules

Thus, if 1 g of water were evenly distributed over the entire earth's surface, there would be approximately 3.34 x 10²² water molecules per square centimeter.

Product description

Our digital product is a calculator for calculating the number of water molecules per square centimeter when 1 g of water is evenly distributed over the entire surface of the Earth.

To use the calculator, you need to know the molar mass of water, which is 18 g/mol, and the surface area of ​​the Earth, which is approximately 510,072,000 square kilometers or 5.1×10¹⁴ square centimeters.

Our calculator will allow you to quickly and easily calculate the number of water molecules per square centimeter for a given distribution. Simply enter the molar mass and surface area of ​​the Earth in the appropriate fields and click the "Calculate" button.

The beautiful design of the calculator and user-friendly interface will make using our product as comfortable and enjoyable as possible.

Enjoy it for your health!

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To solve this problem, you need to use the formula for calculating the number of molecules of a substance, which looks like this:

N = m/M * N_A,

where N is the number of molecules of the substance, m is the mass of the substance, M is the molar mass of the substance, N_A is Avogadro’s constant.

Based on the conditions of the problem, it is known that for 1 g of water there is 1 square cm of the earth's surface. The molar mass of water is 18 g/mol. Thus, the mass of 1 square cm of water is 0.001 g, and a mole of water is equal to its mass divided by the molar mass:

n = m/M = 0.001 g / 18 g/mol = 0.00005556 mol.

Now you can calculate the number of water molecules per square centimeter using Avogadro's constant:

N = n * N_A = 0.00005556 mol * 6.022 * 10^23 mol^-1 = 3.34 * 10^19 molecules.

Thus, there are approximately 3.34 * 10^19 water molecules per square centimeter.

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