Answer :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 1.9 \ moles \ Mg}}[/tex]

Explanation:

To convert from grams to moles, the molar mass is used. This tells us the grams in 1 mole of a specific substance. It can be found on the Periodic Table.

  • Magnesium (Mg): 24.305 g/mol

Use the molar mass as a ratio.

[tex]\frac { 24.305 \ g \ Mg}{1 \ mol \ Mg}[/tex]

Multiply by the given number of grams.

[tex]45 \ g \ Mg *\frac { 24.305 \ g \ Mg}{1 \ mol \ Mg}[/tex]

Flip the fraction so the grams of magnesium can cancel.

[tex]45 \ g \ Mg *\frac {1 \ mol \ Mg }{24.305 \ g \ Mg}[/tex]

[tex]45 *\frac {1 \ mol \ Mg }{24.305 }[/tex]

[tex]\frac {45 \ mol \ Mg }{24.305 }[/tex]

[tex]1.85147089076 \ mol \ Mg[/tex]

The original measurement of grams has 2 significant figures, so our answer must have the same.

For the number of moles we calculated, that is the tenth place. The 5 in the hundredth place tells us to round the 8 to a 9.

[tex]1.9 \ mol \ Mg[/tex]

45 grams of magnesium is about 1.9 moles.

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