A sample of gold sulfide was found to contain 24.54 g of gold and 5.99 g of sulfur. In addition, this sample has a molar mass of 980.24 g/mol. a) What is the empirical formula of this sulfide of gold sample? b) What is its molecular formula of this sulfide of gold sample?

Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter10: The Mole
Section10.3: Moles Of Compounds
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A sample of gold sulfide was found to contain 24.54 g of gold and 5.99 g of sulfur. In addition, this sample
has a molar mass of 980.24 g/mol.
a) What is the empirical formula of this sulfide of gold sample?
b) What is its molecular formula of this sulfide of gold sample?
Transcribed Image Text:A sample of gold sulfide was found to contain 24.54 g of gold and 5.99 g of sulfur. In addition, this sample has a molar mass of 980.24 g/mol. a) What is the empirical formula of this sulfide of gold sample? b) What is its molecular formula of this sulfide of gold sample?
Expert Solution
Step 1

Mass of Gold in the sample of Gold sulfide = 24.54 gms

Mass of Sulfur in the sample of Gold sulfide = 5.99 gms

Total mass of the sample = 24.54 + 5.99 = 30.53 gms

So, % of Gold in the sample=24.5430.53×100=80.38%and % of sulfur in the sample=5.9930.53×100=19.62%

Step 2

(a)

Element % of elements Atomic mass Relative no. of atoms=%elementsAtomic mass Simlest atomic ratio Simple whole number ratio
Au 80.38% 196.97 0.41 1 2
S 19.62% 32 0.61 1.49 3

Hence, the empirical formula for the compound will be Au2S3.

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