What is the molarity of a 15%w/v HCl solution (GMW=36.46)?

To determine the molarity of a solution, you need to know the volume of the solvent (in liters) and the amount of the solute (in moles). However, in this case, we are given the concentration of the solute as a percentage w/v.

To convert a percentage w/v solution to molarity, you need to make a few calculations. Here's the step-by-step process:

1. Convert the given concentration from %w/v to grams of solute per liter of solution.

In this case, we have a 15%w/v HCl solution, which means 15 grams of HCl in every 100 mL of solution. To convert this to grams per liter, we need to multiply by 10.

15 grams/100 mL × 10 = 1.5 grams/mL.

2. Determine the moles of solute.

To calculate the moles of solute, we need to divide the mass of solute by its molecular weight (GMW).

Moles = Mass / GMW

In this case, the molecular weight (GMW) of HCl is 36.46 g/mol. Therefore:

Moles = 1.5 grams / 36.46 g/mol = 0.041 moles.

3. Calculate the molarity of the solution.

The molarity (M) of a solution is defined as moles of solute divided by liters of solution.

Molarity = Moles / Volume (in liters)

Since we don't have the volume of the solution, we cannot directly calculate the molarity. However, if you are provided with the volume of the solution, you can substitute it into this equation to find the molarity.

So, without the volume of the solution, we can conclude that the molarity of a 15%w/v HCl solution with a GMW of 36.46 is 0.041 M.