`0*5` mol of potassium ferrocyanide contains carbon equal to

Options

A. `1*5` mol
B. `36 g`
C. `18 g`
D. `3*6 g`

Explanation

To find the amount of carbon in 0.5 moles of potassium ferrocyanide (K₄[Fe(CN)₆]), we can follow these steps:

### Step 1: Identify the formula of potassium ferrocyanide
The formula for potassium ferrocyanide is K₄[Fe(CN)₆]. This means that each formula unit contains 6 cyanide (CN) groups.

### Step 2: Determine the number of carbon atoms in one formula unit
Each cyanide group (CN) contains one carbon atom. Since there are 6 cyanide groups in one formula unit of potassium ferrocyanide, there are 6 carbon atoms in total per formula unit.

### Step 3: Calculate the total number of carbon atoms in 0.5 moles
To find the total number of carbon atoms in 0.5 moles of potassium ferrocyanide, we can use the following calculation:

\[ \text{Total Carbon} = \text{Number of moles} \times \text{Number of carbon atoms per formula unit} \]

Substituting the values:

\[ \text{Total Carbon} = 0.5 \, \text{moles} \times 6 \, \text{carbon atoms} = 3 \, \text{moles of carbon} \]

### Step 4: Convert moles of carbon to grams
To find the mass of carbon, we can use the molar mass of carbon, which is approximately 12 g/mol. Therefore, the mass of carbon can be calculated as follows:

\[ \text{Mass of Carbon} = \text{Number of moles of carbon} \times \text{Molar mass of carbon} \]

Substituting the values:

\[ \text{Mass of Carbon} = 3 \, \text{moles} \times 12 \, \text{g/mol} = 36 \, \text{g} \]

### Final Answer
The mass of carbon in 0.5 moles of potassium ferrocyanide is **36 grams**.

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