Question

How many water molecules are in 4.0 moles of water

Answer 1

You would use avogadro's number, 6.022x10^23 mol^-1 to convert moles to molecules. So, you would set up the dimensional analysis like so: 4.0 moles H2O *(6.022x10^23 units H2O/ 1 mole H2O) to get 2.4 x 10^24 molecules of water.

Answer 2

Answer:

2.4092*10²⁴ molecules are in 4.0 moles of water.

Explanation:

The Avogadro Number or Avogadro Constant is called the number of particles that constitute a substance (usually atoms or molecules) and that can be found in the amount of one mole of that substance. Its value is 6.023 * 10²³ particles per mole. Avogadro's number applies to any substance.

So, it is possible to say that 1 mole of water contains 6.023 * 10²³ molecules of water.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Then

$x=\frac{c*b}{a}$

The rule of three applies in this case as follows: if 1 mole of water contains 6.023 * 10²³  molecules of water, 4 moles of water, how many molecules will it contain?

$molecules of water=\frac{4 moles*6.023*10^{23} molecules}{1 mol}$

molecules of water= 2.4092*10²⁴

2.4092*10²⁴ molecules are in 4.0 moles of water.