Concentrated hydrochloric acid has a concentration of 12.1 moles per liter. how many milliliters of the concentrated acid should be used to create 3.25L of a 0.100M solution?
Use the dilution formula.
c1v1 = c2v2
c = concentration
v = volume
12.1*v = 0.100*3250
v = ?mL.
To determine the volume of concentrated hydrochloric acid needed to create a 0.100M solution, we can use the equation:
Moles of solute / Volume of solution = Molarity
Let's begin solving the problem step by step:
Step 1: Determine the number of moles of solute needed.
The desired molarity of the solution is 0.100M, and the volume is 3.25L. We can use this information to calculate the moles of solute required:
Moles of solute = Molarity * Volume of solution
Moles of solute = 0.100M * 3.25L
Moles of solute = 0.325 moles
Step 2: Determine the volume of concentrated hydrochloric acid needed.
Given that the concentration of the concentrated hydrochloric acid is 12.1 moles per liter, we can calculate the volume of the acid required using the following formula:
Volume of concentrated hydrochloric acid = Moles of solute / Concentration of acid
Volume of concentrated hydrochloric acid = 0.325 moles / 12.1 moles per liter
To convert the answer to milliliters, we can multiply the answer by 1000:
Volume of concentrated hydrochloric acid = (0.325 moles / 12.1 moles per liter) * 1000 mL
Volume of concentrated hydrochloric acid ≈ 26.86 mL
Therefore, approximately 26.86 mL of concentrated hydrochloric acid should be used to create a 3.25L solution with a concentration of 0.100M.
To find out how many milliliters of concentrated hydrochloric acid should be used to create a 0.100M solution, we need to use the formula for dilution:
C₁V₁ = C₂V₂
Where:
C₁ = initial concentration (12.1 moles per liter)
V₁ = initial volume (unknown, in milliliters)
C₂ = final concentration (0.100M)
V₂ = final volume (3.25L or 3250 milliliters)
Let's solve for V₁:
V₁ = (C₂V₂) / C₁
V₁ = (0.100M * 3250 mL) / 12.1 moles per liter
V₁ = (0.100 * 3250) / 12.1
V₁ ≈ 2.66 mL
Therefore, approximately 2.66 milliliters of concentrated hydrochloric acid should be used to create a 0.100M solution when starting with a concentration of 12.1 moles per liter.