Concentrated hydrochloric acid is a 38% solution of hcl in water and has a density of 1.18g/ml. How many milliliters of concentrated hydrochloric acid are needed to prepare 500ml of a 1:200 hcl solution.
My own three calculation
1.18g/ml x 1000ml x0.38 / 36.46 = 12.3M
500ml x 1:200 = 2.5
12.3M = 2.5
x= 2.5/12.3
x= 0.203 x1000
x= 203ml
Or
500ml x 1:200 = 2.5
2.5 x 36.46/0.38/1.18= 203ml
or
38g/36.46g/ml = 1.0412
100g/1.18g/ml = 84.745 changes 0.0847L
x= 1.0412/0.0847
x= 12.3m
500ml x 1:200 = 2.5
12.3m=2.5
x= 2.5/12.3
x=0.203 x 1000
x= 203ml
Who helps me to solve it for me. This problem is still not solved.
To solve the problem, we need to determine how many milliliters of concentrated hydrochloric acid are needed to prepare a 500ml 1:200 HCl solution.
First, let's calculate the molarity of the concentrated hydrochloric acid. We are given that it is a 38% solution of HCl in water with a density of 1.18g/ml.
Step 1: Calculate the moles of HCl in 1 liter (1000ml) of the concentrated solution.
- To do this, we multiply the density (1.18g/ml) by the volume (1000ml) and the concentration (38%). Then, divide by the molar mass of HCl (36.46 g/mol).
- (1.18g/ml) x (1000ml) x (0.38) / (36.46 g/mol) ≈ 12.3 mol/L or M
Step 2: Calculate the moles of HCl needed for the 500ml solution.
- Since we want a 1:200 dilution, the final concentration should be 1/200 of the initial concentration. So, the final concentration is 12.3 mol/L divided by 200.
- (12.3 mol/L) / 200 = 0.0615 mol/L or M
Step 3: Calculate the volume of concentrated hydrochloric acid needed to prepare the 500ml solution.
- Multiply the final concentration (0.0615 mol/L or M) by the volume of the solution (500ml).
- (0.0615 mol/L) x (500ml) = 30.75 mol
Step 4: Convert the moles of concentrated hydrochloric acid to milliliters.
- Divide the moles (30.75 mol) by the molarity (12.3 mol/L or M) and multiply by 1000 to convert to milliliters.
- (30.75 mol) / (12.3 mol/L) x (1000ml/L) ≈ 2500 ml or 2.5 L
Therefore, you would need approximately 2.5 liters (or 2500 milliliters) of concentrated hydrochloric acid to prepare a 500ml 1:200 HCl solution.