A solution of hydrochloric acid (HCl) contains 22.5% hydrochloric by mass. What is the molality of this solution

I'm not sure how to start this problem...

22.5g*(1mole/36.46 g)=moles of HCl

molality=moles of HCl/[(100-22.5)*10^-3 KG]

Thank you :)

To find the molality (m), we need two pieces of information: the mass of the solvent and the number of moles of solute. In this case, the solvent is the hydrochloric acid solution, and the solute is also hydrochloric acid (HCl).

To calculate the molality, we will use the formula:

m = moles of solute / mass of solvent (in kg)

Step 1: Determine the moles of solute (HCl)
We are given that the solution contains 22.5% hydrochloric acid by mass. This means that for every 100 grams of the solution, 22.5 grams are HCl.

Step 2: Convert grams of HCl to moles of HCl
To convert grams of a substance to moles, we need to divide the mass by the molar mass of the substance.

The molar mass of HCl is approximately 36.5 g/mol (1 gram of hydrogen + 35.5 grams of chlorine).
We can use this value to calculate the number of moles of HCl using the formula:

moles = mass / molar mass

Step 3: Determine the mass of the solvent
The mass of the solvent is not given directly, but we can find it by subtracting the mass of the solute (HCl) from the total mass of the solution. Since the solution is given as a percentage by mass, we can assume we have 100 grams of the solution.

Step 4: Convert the mass of the solvent to kg
To convert grams to kilograms, divide the mass by 1000.

Step 5: Calculate the molality
Now that we have determined the moles of solute (HCl) and the mass of the solvent (in kg), we can substitute these values into the formula for molality:

m = moles of solute / mass of solvent (in kg)

By following these steps, you can calculate the molality of the hydrochloric acid solution.