Question

How many moles of sulfur are in a 707 gram sample of sulfur?

a) 12.2 moles of sulfur
Ob) 52.1 moles of sulfur
c) 51.1 moles of sulfur
od) 22.1 moles of sulfur

Answer 1

`\boxed {\boxed {\sf D. \ 22.1 \ moles \ of \ sulfur}}`

Step-by-step explanation:

To convert from moles to grams, we must use the molar mass. This can be found on the Periodic Table.

We are given a sample of sulfur. Look for the symbol S on the table.

• Sulfur (S): 32.07 g/mol

This tells us the mass of 1 mole of sulfur. Use this molar mass as a ratio.

`(32.07 \ g \ S)/(1 \ mol \ S )`

Multiply by the given number of grams (707).

`707 \ g \ S *(32.07 \ g \ S)/(1 \ mol \ S )`

Flip the fraction so the grams of sulfur will cancel out.

`707 \ g \ S *( 1 \ mol \ S )/(32.07 \ g \ S)`

`707 *( 1 \ mol \ S )/(32.07 )`

`( 707 \ mol \ S )/(32.07 )`

`22.0455254 \ mol \ S`

The number we caluclated is the closest to answer choice D: 22.1 moles of sulfur

Answer 2

d) 22.1 moles of sulfur

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Chemistry

Atomic Structure

• Reading a Periodic Table

Stoichiometry

• Using Dimensional Analysis

Step-by-step explanation:

Step 1: Define

707 g S (Sulfur)

Step 2: Identify Conversions

Molar Mass of S - 32.07 g/mol

Step 3: Convert

1. Set up:
   `\displaystyle 707 \ g \ S((1 \ mol \ S)/(32.07 \ g \ S))`
2. Divide:
   `\displaystyle 22.0455 \ mol \ S`

Step 4: Round

Our closest answer is d) 22.1 moles of sulfur

This is due to dividing different rounded values.