Question

How many grams of present in 2.1x1026 atoms of cesium?

Answer 1

46000 g Cs

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

2.1 × 10²⁶ atoms Cs

Step 2: Identify Conversions

Avogadro's Number

Molar Mass of Cs - 132.91 g/mol

Step 3: Convert

1. Set up:
   `\displaystyle 2.1 \cdot 10^(26) \ atoms \ Cs((1 \ mol \ Cs)/(6.022 \cdot 10^(23) \ atoms \ Cs))((132.91 \ g \ Cs)/(1 \ mol \ Cs))`
2. Divide/Multiply:
   `\displaystyle 46348.6 \ g \ Cs`

Step 4: Check

Follow sig fig rules and round. We are given 2 sig figs.

46348.6 g Cs ≈ 46000 g Cs