Answer :

Answer:

[tex]\boxed {\boxed {\sf About 7.1 \ mol \ H_2O}}[/tex]

Explanation:

To convert from molecules to moles, we must use Avogadro's Number: 6.022*10²³. This tells us the amount of particles (atoms, molecules, etc.) in 1 mole of a substance. In this case, the particles are molecules of water.

[tex]\frac {6.022*10^{23} \ molecules \ H_2O} {1 \ mol \ H_2O}[/tex]

Multiply by the given number of molecules.

[tex]4.3 *10^{24} \ molecules \ H_2O *\frac {6.022*10^{23} \ molecules \ H_2O} {1 \ mol \ H_2O}[/tex]

Flip the fraction so the molecules of water cancel.

[tex]4.3 *10^{24} \ molecules \ H_2O *\frac {1 \ mol \ H_2O} {6.022*10^{23} \ molecules \ H_2O}[/tex]

[tex]4.3 *10^{24} *\frac {1 \ mol \ H_2O} {6.022*10^{23} }[/tex]

[tex]\frac {4.3 *10^{24}\ mol \ H_2O} {6.022*10^{23} }[/tex]

[tex]7.140484889 \ mol \ H_2O[/tex]

The original measurement of atoms has 2 significant figures ( 4 and 3), so our answer must have the same. For the moles we calculated, that is the tenth place. The 4 in the hundredth place tells us to leave the 1.

[tex]7.1 \ mol \ H_2O[/tex]

There are about 7.1 moles of water.

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Rewritten by : Barada

There are [tex]7.14[/tex]moles in [tex]4.3 \times 10^{24}[/tex] molecules of [tex]H_2O[/tex] which is calculated using the Avogadro`s number .

To determine how many moles are in [tex]4.3 \times 10^{24}[/tex] molecules of [tex]H_2O[/tex], we must utilize Avogadro's formula., which is [tex]6.022 \times 10^{23}[/tex] molecules per mole. This number helps us convert between the number of molecules and moles.

  • First, let's set up the conversion:

Number of moles = (Number of molecules) / (Avogadro's number)

  • Now, we substitute the given values:

Number of moles = [tex]\frac{4.3 \times 10^{24} \, \text{molecules}}{6.022 \times 10^{23} \, \text{molecules/mol}}[/tex]

  • Dividing the numbers, we get:

Number of moles = 7.14 moles

Therefore, [tex]4.3 \times 10^{24}[/tex] molecules of [tex]H_2O[/tex] equal approximately [tex]7.14[/tex]moles.

Additionally, knowing the relationship expressed by Avogadro's number is essential in various calculations within chemistry, from determining molecular masses to understanding chemical reactions and stoichiometry.