6. A diamond contains 5.0 ×10^21 atoms of carbon. What amount(moles) of carbon and what mass (grams) of carbon are in this diamond? * a. 0.008303 and 0.0997
b. 0.008303g and 0.0997mol
c. 0.008303amu and 0.0997
d. 0.008303 and 0.0997amu

0.008303 mol and 0.0997 g

Explanation:

From Avogadro's hypothesis, we understood that 1 mole of any substance contains 6.022×10²³ atoms.

This implies that 1 mole of carbon also contains 6.022×10²³ atoms.

Next, we shall determine the mole of carbon that contains 5.0×10²¹ atoms. This can be obtained as follow:

1 mole of carbon contains 6.022×10²³ atoms.

Therefore, Xmol of carbon will contain 5.0×10²¹ atoms i.e

Xmol of carbon = 5.0×10²¹ / 6.022×10²³

Xmol of carbon = 0.008303 mole

Therefore, 0.008303 mole of carbon contains 5.0×10²¹ atoms.

Finally, we shall determine the mass of carbon. This can be obtained as follow:

Mole of carbon = 0.008303 mole

Molar mass of carbon = 12.01 g/mol

Mass of Carbon =.?

Mole = mass /Molar mass

0.008303 = mass of carbon/12.01

Cross multiply

Mass of Carbon = 0.008303 x 12.01

Mass of Carbon = 0.0997 g.