Molarity of liquid HCl with density equal to `1.17 g//mL` is:

Options

A. `36.5`
B. `18.25`
C. `32.05`
D. `42.10`

Explanation

To find the molarity of liquid HCl with a density of 1.17 g/mL, we can follow these steps:

### Step 1: Convert Density to g/L
Given the density of HCl is 1.17 g/mL, we need to convert it to grams per liter (g/L).

\[ \text{Density in g/L} = 1.17 \, \text{g/mL} \times 1000 \, \text{mL/L} = 1170 \, \text{g/L} \]

### Step 2: Determine the Molar Mass of HCl
Next, we need to calculate the molar mass of HCl. The molar mass is the sum of the atomic masses of hydrogen (H) and chlorine (Cl).

- Atomic mass of H = 1 g/mol
- Atomic mass of Cl = 35.5 g/mol

\[ \text{Molar mass of HCl} = 1 + 35.5 = 36.5 \, \text{g/mol} \]

### Step 3: Calculate Molarity
Molarity (M) is defined as the number of moles of solute per liter of solution. It can be calculated using the formula:

\[ \text{Molarity} = \frac{\text{Density (g/L)}}{\text{Molar mass (g/mol)}} \]

Substituting the values we have:

\[ \text{Molarity} = \frac{1170 \, \text{g/L}}{36.5 \, \text{g/mol}} \approx 32.05 \, \text{mol/L} \]

### Step 4: Conclusion
The molarity of the liquid HCl is approximately 32.05 mol/L.