The number of sodium atoms in 2 moles of sodium ferrocyanide is

Options

A. `12xx10^(23)`
B. `26xx10^(23)`
C. `34xx10^(23)`
D. `48xx10^(23)`

Explanation

To find the number of sodium atoms in 2 moles of sodium ferrocyanide, we can follow these steps:

### Step 1: Write the formula of sodium ferrocyanide.
The chemical formula for sodium ferrocyanide is Na₄[Fe(CN)₆]. This indicates that each formula unit contains 4 sodium (Na) atoms.

### Step 2: Determine the number of sodium atoms in one mole of sodium ferrocyanide.
In one mole of sodium ferrocyanide (Na₄[Fe(CN)₆]), there are 4 moles of sodium atoms. Therefore, the number of sodium atoms in one mole is:
\[ 4 \text{ Na atoms} \]

### Step 3: Calculate the number of sodium atoms in 2 moles of sodium ferrocyanide.
To find the total number of sodium atoms in 2 moles of sodium ferrocyanide, we multiply the number of sodium atoms in one mole by the number of moles:
\[ \text{Number of sodium atoms} = 2 \text{ moles} \times 4 \text{ Na atoms/mole} = 8 \text{ Na atoms} \]

### Step 4: Convert the number of sodium atoms to actual atoms using Avogadro's number.
Avogadro's number (approximately \(6.02 \times 10^{23}\)) tells us how many atoms are in one mole of a substance. Therefore, the total number of sodium atoms in 2 moles of sodium ferrocyanide is:
\[ 8 \text{ Na atoms} \times 6.02 \times 10^{23} \text{ atoms/mole} = 8 \times 6.02 \times 10^{23} \text{ atoms} \]

### Step 5: Calculate the final number of sodium atoms.
Now, we can perform the multiplication:
\[ 8 \times 6.02 \times 10^{23} = 48.16 \times 10^{23} \text{ atoms} \]
This can be simplified to:
\[ 4.816 \times 10^{24} \text{ atoms} \]

### Final Answer:
The number of sodium atoms in 2 moles of sodium ferrocyanide is \(4.816 \times 10^{24}\) atoms.

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