Question

A sample of 5.54 x 10²⁰ atoms of Hg will have what mass?

a) 200 grams Hg
b) 300 grams Hg
c) 400 grams Hg
d) 500 grams Hg

Answer 1

The mass of 5.54 x 1020 atoms of mercury (Hg) is calculated to be approximately 0.1845 g, which is much less than any of the provided answer options.

Step-by-step explanation:

To determine the mass of 5.54 x 1020 atoms of mercury (Hg), we first need to find the number of moles represented by these atoms using Avogadro's number (6.022 x 1023 atoms/mol). The atomic mass of mercury (Hg) is approximately 200.59 g/mol.

1. Calculate moles of Hg: (5.54 x 1020 atoms Hg) / (6.022 x 1023 atoms/mol) = 9.20 x 10-4 moles Hg.
2. Calculate the mass of Hg: (9.20 x 10-4 moles Hg) x (200.59 g/mol) = 0.1845 g of Hg. This value indicates that the mass of the sample is much less than any of the options provided, so none of the given selections (a) 200 grams, (b) 300 grams, (c) 400 grams, (d) 500 grams) are correct.

Therefore, the mass of 5.54 x 1020 atoms of Hg is approximately 0.1845 g.