Sure, let me guide you through the solution step by step.
### Step 1: Understanding the Given Data
1. We know that 1 mole of SF₆ (sulfur hexafluoride) contains [tex]\(6.02 \times 10^{23}\)[/tex] formula units (particles) of SF₆.
2. We are given a sample of 1.95 moles of SF₆, and we need to find the total number of particles in this sample.
### Step 2: Setting Up the Problem
To find the total number of particles in 1.95 moles of SF₆, we multiply the number of moles by Avogadro's number (the number of particles in one mole).
[tex]\[ \text{Number of particles} = \text{number of moles} \times \text{Avogadro's number} \][/tex]
### Step 3: Calculating the Number of Particles
[tex]\[ \text{Number of particles} = 1.95 \times 6.02 \times 10^{23} \][/tex]
### Step 4: Arranging into Scientific Notation
Perform the multiplication:
[tex]\[ 1.95 \times 6.02 = 11.739 \][/tex]
We round this number to two decimal places (the hundredth place):
[tex]\[ 11.739 \approx 11.74 \][/tex]
This means that the number of particles in the 1.95 mole sample is:
[tex]\[ 11.74 \times 10^{23} \][/tex]
### Step 5: Formatting the Answer
You told us to put the coefficient in the green box and the exponent in the yellow box, rounding the coefficient to the nearest hundredth.
- Coefficient: 11.74 [tex]\(\boxed{\textcolor{green}{11.74}}\)[/tex]
- Exponent: 23 [tex]\(\boxed{\textcolor{yellow}{23}}\)[/tex]
So, the final formatted answer is:
[tex]\[ 1.95 \ \text{mol SF}_6 = 11.74 \times 10^{23} \ \text{f.un. SF}_6 \][/tex]
