Question

How many moles of sulfur dioxide (SO2) are in an 8.99 x 10^23 molecule sample?

A) (4.50 x 10^6) moles
B) (2.00 x 10^7) moles
C) (1.50 x 10^7) moles
D) (3.00 x 10^7) mole

Answer 1

The number of moles of sulfur dioxide (SO2) in an 8.99 x 10^23 molecule sample is approximately 1.493 moles, which, when expressed to three significant figures, is 1.50 moles.

Step-by-step explanation:

To calculate the number of moles of sulfur dioxide (SO2) in an 8.99 x 1023 molecule sample, we use Avogadro's number, which is 6.022 x 1023 molecules/mol.

The formula to convert molecules to moles is:

Number of Moles = (Number of Molecules) / Avogadro's number

Applying this conversion:

Moles of SO2 = (8.99 x 1023 molecules) / (6.022 x 1023 molecules/mol)

Moles of SO2 = 1.493 moles (roughly 1.50 moles when expressed to three significant figures)

So, the correct answer from the provided options is C) (1.50 x 107) moles.