How many moleculs would be there in `0.01` moles of sodium hydroxide?

Options

A. `6.023 xx 10^(23)`
B. `6.023 xx 10^(21)`
C. `6.023 xx 10^(22)`
D. `6.023 xx 10^(20)`

Answer

To find out how many molecules are present in 0.01 moles of sodium hydroxide (NaOH), we can use Avogadro's number. Avogadro's number states that one mole of any substance contains approximately \(6.022 \times 10^{23}\) entities (which can be atoms, molecules, etc.).

Here’s a step-by-step solution:

### Step 1: Understand the relationship between moles and molecules.
1 mole of any substance contains \(6.022 \times 10^{23}\) molecules.

### Step 2: Set up the calculation.
To find the number of molecules in 0.01 moles of sodium hydroxide, we can use the formula:
\[ \text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number} \]

### Step 3: Substitute the values into the formula.
\[ \text{Number of molecules} = 0.01 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole} \]

### Step 4: Perform the multiplication.
\[ \text{Number of molecules} = 0.01 \times 6.022 \times 10^{23} = 6.022 \times 10^{21} \, \text{molecules} \]

### Final Answer:
There are approximately \(6.022 \times 10^{21}\) molecules in 0.01 moles of sodium hydroxide.

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