Calculate the mass (in mg)of 4.82 × 10²²atoms of sodium. A) 3.48 mg B) 287 × 10³ mg C) 287 mg D) 1.84 × 10³ mg E) 1.84 mg

Question

Quizplus · Accepted Answer

To calculate the mass of 4.82 × 10^22 atoms of sodium, we need to know the molar mass of sodium which is 22.99 g/mol or 22.99 × 10^6 mg/mol (since 1 g = 10^6 mg).

Using this molar mass, we can calculate the mass of one mole of sodium atoms, which is 22.99 × 10^6 mg.

Then we can use Avogadro's number (6.02 × 10^23) to convert from moles to atoms:

1 mol Na = 6.02 × 10^23 atoms Na

So,

22.99 × 10^6 mg Na/mol × (1 mol Na / 6.02 × 10^23 atoms Na) = 3.822 × 10^-17 mg Na/atom

Finally, we can multiply this by 4.82 × 10^22 atoms to get the total mass:

3.822 × 10^-17 mg Na/atom × 4.82 × 10^22 atoms = 1.84 × 10^6 mg = 1.84 mg.

Therefore, the correct answer is D.

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