suppose that 1.550g of hydrochloric is dissolved into 500.0ml of solution. what is the molar concentration of the acid?
To find the molar concentration of the hydrochloric acid solution, we need to use the formula:
Molar concentration (M) = (Number of moles of solute) / (Volume of solution in liters)
First, we need to calculate the number of moles of hydrochloric acid (HCl) using its mass and molar mass. The molar mass of HCl is 36.461 g/mol (1.007 g/mol for hydrogen and 35.454 g/mol for chlorine).
Given:
Mass of HCl = 1.550 g
Volume of solution = 500.0 mL = 0.500 L
Step 1: Convert the mass of HCl from grams to moles.
Moles of HCl = Mass of HCl / Molar mass of HCl
Moles of HCl = 1.550 g / 36.461 g/mol
Step 2: Calculate the molar concentration.
Molar concentration (M) = Moles of HCl / Volume of solution in liters
Molar concentration (M) = (1.550 g / 36.461 g/mol) / 0.500 L
Now, let's calculate it:
1) Calculate the moles of HCl:
Moles of HCl = 1.550 g / 36.461 g/mol ≈ 0.0425 mol (rounded to four decimal places)
2) Calculate the molar concentration:
Molar concentration (M) = (0.0425 mol) / 0.500 L ≈ 0.085 M (rounded to three decimal places)
Therefore, the molar concentration of the hydrochloric acid solution is approximately 0.085 M.