Calculate the molality of a solution containing 20.7 g of potassium carbonate dissolved in 500 mL of solution (assume density of solution = `1 g mL^(-1)`).

Explanation

To calculate the molality of a solution containing 20.7 g of potassium carbonate (K2CO3) dissolved in 500 mL of solution, we will follow these steps:

### Step 1: Calculate the number of moles of potassium carbonate (K2CO3).
The formula for calculating the number of moles is:
\[ \text{Number of moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \]
The molar mass of K2CO3 can be calculated as follows:
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