Question

Answer the following question about this problem: How many moles are in 9.0 x 10^23 molecules of SO3?

a) How many significant figures should the answer have?
i) One
ii) Two
iii) Three
iv) Four

Answer 1

To convert 9.0 x 10^23 molecules of SO3 to moles, divide by Avogadro's number, resulting in approximately 1.5 moles. The answer should have the same number of significant figures as the given measurement, which is two.

Step-by-step explanation:

To determine how many moles are in 9.0 x 1023 molecules of SO3, you must use Avogadro's number, which is 6.022 x 1023 molecules per mole. By dividing the number of molecules by Avogadro's number, you'll find the number of moles:

Number of moles = (9.0 x 1023 molecules) / (6.022 x 1023 molecules/mol)
= 1.49 moles (approximately)

The number of significant figures in the answer should match the number of significant figures in the least precise measurement used in the calculation. Since '9.0 x 1023' has two significant figures, the answer for the number of moles should also be expressed to two significant figures.

Therefore, to two significant figures, there are approximately 1.5 moles of SO3 in 9.0 x 1023 molecules of SO3.