Question

Chemistry - Mass/Particle Conversions

Convert 3.89 x 10^23 molecules/formula units of X^4Z^5 into grams of the same compound. (Assume that the molar mass of X is 76.15 grams per mole and the molar mass of Z is 56.3 grams per mole.)

Assume that Avogadro's number is 6.022 x 10^23. Report your answer to three decimal places.

Answer 1

Mass of X₄Z₅= 378.621 g

Further explanation

Given

3.89 x 10²³ molecules/formula units of X₄Z₅

Required

Mass of X₄Z₅

Solution

1 mol = 6.022 x 10²³ particles(molecules, atoms, ions)

N = n x No

No = Avogadro's number

n = mol

Conversion to mol :

n = N : No

n = 3.89 x 10²³ : 6.022 x 10²³

n = 0.646

MW X₄Z₅ :

= 4 x 76.15 + 5 x 56.3

= 304.6 + 281.5

= 586.1 g/mol

Mass :

= mol x MW

= 0.646 x 586.1

= 378.621 g