Question

A diamond contains 5.0 x 10^(21) atoms of carbon. What amount (moles) of carbon and what mass (grams) of carbon are in this diamond

Answer 1

Amount (Mole) of carbon = 0.008303 mole

Mass (gramm)of Carbon = 0.0997 g.

Step-by-step explanation:

From Avogadro's law, we know that 1 mole of carbon contains 6.022×10²³ atoms.

Then the mole of carbon that contains 5.0×10²¹ atoms can be computed as (5.0×10²¹ / 6.022×10²³)

=0.008303 mole

5.0×10²¹ atoms is contained in 0.008303 mole

Hence, Amount (Mole) of carbon = 0.008303 mole

the mass of carbon can be computed , we know that

Mole = mass /Molar mass

Where Molar mass of carbon = 12.01 g/mol

n=0.008303 mol

Making " mass" subject of the formula,

mass=Mole ,× Molar mass

=0.008303 x 12.01

= 0.0997 g.