Calculate the amount of `AgNO_3` which should be added to 60 ml of solution to perpare a concentration of 0.03 `g ml^(-1)`

Options

A. 1.8 g
B. 1.8 mg
C. 0.018 g
D. 0.018 mg

Answer

To solve the problem of calculating the amount of AgNO₃ needed to prepare a solution with a concentration of 0.03 g/ml in 60 ml of solution, follow these steps:

### Step 1: Understand the relationship between concentration, mass, and volume
The concentration (C) of a solution is defined as the mass of solute (m) divided by the volume of solution (V):
\[ C = \frac{m}{V} \]

### Step 2: Rearrange the formula to find the mass of solute
To find the mass of the solute (AgNO₃), rearrange the formula:
\[ m = C \times V \]

### Step 3: Convert the volume from ml to liters
Since the concentration is given in grams per milliliter (g/ml), we can directly use the volume in milliliters:
\[ V = 60 \, \text{ml} \]

### Step 4: Calculate the mass of AgNO₃ required
Using the concentration given (0.03 g/ml):
\[ m = 0.03 \, \text{g/ml} \times 60 \, \text{ml} \]
\[ m = 1.8 \, \text{g} \]

### Conclusion
The amount of AgNO₃ that should be added to 60 ml of solution to achieve a concentration of 0.03 g/ml is **1.8 grams**.

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