Question

Determine the number of grams of carbon 3.14x 1023 atoms of carbon

Answer 1

Answer:

6.26 g C

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
• Moles
• Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc.

Stoichiometry

• Using Dimensional Analysis

Explanation:

Step 1: Define

[Given] 3.14 × 10²³ atoms C

[Solve] grams C

Step 2: Identify Conversions

Avogadro's Number

[PT] Molar Mass of C - 12.01 g/mol

Step 3: Convert

1. [DA] Set up:                                                                                                      $\displaystyle 3.14 \cdot 10^{23} \ atoms \ C(\frac{1 \ mol \ C}{6.022 \cdot 10^{23} \ atoms \ C})(\frac{12.01 \ g \ C}{1 \ mol \ C})$
2. [DA] Multiply/Divide [Cancel out units]:                                                         $\displaystyle 6.26227 \ g \ C$

Step 4: Check

Follow sig fig rules and round. We are given 3 sig figs.

6.26227 g C ≈ 6.26 g C

Answer 2

I think it would be 6.26 g