What weight of sodium contains the same number of atoms as those in $8$ grams of oxygen?

10.5 g

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13.5 g

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11.5 g

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14.2 g

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Solution

The correct option is C $11.5 g$
Atomic weights of sodium and oxygen are 23 g/mol and 16 g/mol respectively.

8 g oxygen $= \frac{8 g}{16 g / m o l} = 0.5$ moles of oxygen atoms.

Number of moles of sodium $=$ number of moles of oxygen atoms $=$ 0.5.
Weight of sodium $= 0.5 m o l \times 23 g / m o l = 11.5 g$ .
Note: Since sodium and oxygen samples have same number of atoms, they will have same number of moles.

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