A giant molecule contains `0.25%` of a metal whose atomic weight is 59. Its molecular contains one atom of that metal. Its molecular weight : is -

Options

A. 5900
B. 23600
C. 11800
D. `(100xx59)/(0.4)`

Explanation

To solve the problem, we need to determine the molecular weight of the giant molecule based on the given information. Here’s a step-by-step solution:

### Step 1: Understand the Given Information
We know that:
- The giant molecule contains 0.25% of a metal.
- The atomic weight of the metal is 59 g/mol.
- The molecule contains one atom of that metal.

### Step 2: Calculate the Mass of the Metal in 100 g of the Molecule
Since the percentage of the metal is given as 0.25%, this means that in 100 grams of the giant molecule, there are 0.25 grams of the metal.

### Step 3: Find the Molecular Weight of the Giant Molecule
To find the molecular weight of the giant molecule, we can set up a proportion based on the mass of the metal:

If 0.25 grams of metal corresponds to 59 grams (the atomic weight of the metal), we can find the total molecular weight (M) of the giant molecule using the formula:

\[ \text{Molecular Weight (M)} = \frac{\text{Atomic Weight of Metal} \times 100 \text{ g}}{\text{Mass of Metal in 100 g of Molecule}} \]

Substituting the values:

\[ M = \frac{59 \text{ g/mol} \times 100 \text{ g}}{0.25 \text{ g}} \]

### Step 4: Perform the Calculation
Now, we calculate:

\[ M = \frac{5900 \text{ g}}{0.25} = 5900 \text{ g} \times 4 = 23600 \text{ g/mol} \]

### Step 5: Conclusion
The molecular weight of the giant molecule is **23600 g/mol**.