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How many moles of Carbon are in 3.06 g of Carbon

1 Answer

3 votes

Answer:


\boxed {\boxed {\sf 0.255 \ mol \ C }}

Step-by-step explanation:

If we want to convert from grams to moles, the molar mass is used. This is the mass of 1 mole. They are found on the Periodic Table as the atomic masses, but the units are grams per mole (g/mol) instead of atomic mass units (amu).

Look up the molar mass of carbon.

  • Carbon (C): 12.011 g/mol

Set up a ratio using the molar mass.


\frac {12.011 \ g \ C}{ 1 \ mol \ C}

Since we are converting 3.06 grams to moles, we multiply by that value.


3.06 \ g \ C*\frac {12.011 \ g \ C}{ 1 \ mol \ C}

Flip the ratio. This way, the ratio is still equivalent, but the units of grams of carbon cancel.


3.06 \ g \ C* (1 \ mol \ C)/(12.011 \ g\ C)


3.06 * (1 \ mol \ C)/(12.011 )


\frac {3.06}{12.011 } \ mol \ C


0.25476646 \ mol \ C

The original measurement of grams (3.06) has 3 significant figures, so our answer must have the same. For the number we calculated, that is the thousandth place.

  • 0.25476646

The 7 in the ten-thousandth place tells us to round the 4 up to a 5.


0.255 \ mol \ C

3.06 grams of carbon is approximately 0.255 moles of carbon.

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