The molecular mass of octane is [tex]114.22 \, \text{g/mol}[/tex]. What is the mass of 22.05 mol of octane?

A. [tex]5.180 \, \text{g}[/tex]
B. [tex]22.05 \, \text{g}[/tex]
C. [tex]114.22 \, \text{g}[/tex]
D. [tex]2,518 \, \text{g}[/tex]



Answer :

To solve this problem, we need to calculate the mass of octane given the molecular mass and the number of moles. Here's the step-by-step solution:

1. Understand the formula to use:
The formula to find the mass of a substance is:
[tex]\[ \text{mass} = \text{molecular mass} \times \text{number of moles} \][/tex]

2. Identify the given values:
- The molecular mass of octane is \( 114.22 \, \text{g/mol} \).
- The number of moles of octane is \( 22.05 \, \text{mol} \).

3. Substitute the given values into the formula:
[tex]\[ \text{mass} = 114.22 \, \text{g/mol} \times 22.05 \, \text{mol} \][/tex]

4. Calculate the mass:
[tex]\[ \text{mass} = 2518.551 \, \text{g} \][/tex]

5. Round the result to match the closest option:
The calculated mass is \( 2518.551 \, \text{g} \). When rounding to the nearest gram, the result is \(2518 \, \text{g}\).

Hence, the mass of 22.05 moles of octane is [tex]\(2,518 \, \text{g}\)[/tex]. Therefore, the correct option is [tex]$\boxed{2,518 \, \text{g}}$[/tex].