What is the molarity of a hydrochloric acid solution that contains 18.3 \(\mathrm{g} \mathrm{HCl}\) in 100.0 \(\mathrm{mL}\) of solution?

Short Answer

Expert verified
The molarity of the hydrochloric acid solution is calculated by dividing the moles of HCl by the volume of the solution in liters.

Step by step solution

01

Calculate the moles of HCl

First, convert the given mass of HCl to moles. The molar mass of HCl is approximately 36.5 g/mol. This is done using the formula: \n Moles of HCl = mass (g) / molar mass (g/mol) \n Moles of HCl = 18.3g / 36.5 g/mol
02

Convert volume to liters

Next, convert the volume of the solution from milliliters to liters. There are 1,000 milliliters in a liter, so this is done by dividing by 1,000. So, the volume in liters is: 100.0 mL / 1,000 = 0.1 L
03

Calculate molarity

Finally, calculate the molarity (M) by dividing the moles of HCl by the volume of the solution in liters. This is done using the formula: \n Molarity = moles HCl / volume (L) \n Molarity = Moles of HCl / 0.1 L

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