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How many moles are in 4.1 x10 22 molecules of NaCl?

Sagot :

It would be 12.46 I hope this helps

Answer:

[tex]\boxed {\boxed {\sf 0.068 \ mol \ NaCl}}[/tex]

Explanation:

To convert from molecules to moles, Avogadro's Number must be used. This number is 6.022 *10²³. It tells us the number of particles (atoms, molecules, etc.) in 1 mole of a substance.

In this case, the particles are molecules of sodium chloride. We can make a ratio.

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

Multiply by the given number of molecules.

[tex]4.1*10^{22} \ molecules \ NaCl *\frac {6.022*10^{23} \ molecules \ NaCl}{ 1 \ mol \ NaCl}[/tex]

Flip the fraction so the moles of sodium chloride cancel.

[tex]4.1*10^{22} \ molecules \ NaCl *\frac {1 \ mol \ NaCl}{6.022*10^{23} \ molecules \ NaCl }[/tex]

[tex]4.1*10^{22} *\frac {1 \ mol \ NaCl}{6.022*10^{23} }[/tex]

[tex]\frac {4.1*10^{22} \ mol \ NaCl}{6.022*10^{23} }[/tex]

[tex]0.06808369313 \ mol \ NaCl[/tex]

The original measurement of molecules has 2 significant figures, so our answer must have the same. For the number we calculated that is the thousandth place.

The 0 in the ten thousandth place tells us to leave the 8.

[tex]0.068 \ mol \ NaCl[/tex]

There are 0.068 moles of sodium chloride.