If it were possible to have a 9.0 x 1023-atom sample of pure titanium, what would be the mass of this sample, in grams?

.0140 g

.0312 g

32.0 g

71.6 g

The answer is 7 1.6 g

Step 1: Calculate the number of moles using the Avogadro's number.

Step 2: Calculate the mass using the number of moles and atomic mass of titanium.

Step 1.

Avogadro's number is the number of units in 1 mole of substance:

6.023 * 10²³ units (atom) per 1 mole

Calculate the number of moles by using the proportion:

6.023 * 10²³ atom : 1 mole = 9.0 * 10²³ atom : x

x = 1 mole * 9.0 * 10²³ atom / 6.023 * 10²³ atom

x = 1.4942 moles

Step 2.

The atomic mass of titanium is: Ar = 47.867 g

This means that in 1 mole, there are 47.867 g in 1000 ml

And we need to calculate the number of grams in 1.4942 moles:

47.867 g : 1 mole = x : 1.49 moles

x = 1.4942 moles * 47.867 g / 1 mole

x ≈ 71.6 g

Use the atomic mass of Ti: 47.867 g/mol and Avogadro's number

9.0*10^23 atoms * [1 / (6.022*10^23 atoms/mol) ] * 47.867 g/mol = 71.5 g.

The answer is 71.6 g