Questions: How many molecules are in 47.2 moles of CCl4?

Transcript text: How many molecules are in 47.2 moles of $\mathrm{CCl}_{4}$?

Solution

Solution Steps

Step 1: Understand the Problem

The problem asks for the number of molecules in 47.2 moles of $\mathrm{CCl}_{4}$. To find this, we need to use Avogadro's number, which is the number of molecules in one mole of a substance.

Step 2: Use Avogadro's Number

Avogadro's number is $6.022 \times 10^{23}$ molecules per mole. This means that one mole of any substance contains $6.022 \times 10^{23}$ molecules.

Step 3: Calculate the Number of Molecules

To find the total number of molecules in 47.2 moles of $\mathrm{CCl}_{4}$, multiply the number of moles by Avogadro's number:

\[ \text{Number of molecules} = 47.2 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole} \]

\[ = 2.843 \times 10^{25} \, \text{molecules} \]

Final Answer

$\boxed{2.843 \times 10^{25} \, \text{molecules}}$

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