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?
Who helps me to solve it for me. I think 2.12 ml is not right.
To solve this problem, we need to calculate the volume of concentrated hydrochloric acid needed to prepare a 500 mL solution with a 1:200 HCl ratio.
First, let's understand the meaning of a 1:200 HCl solution. It means that for every 200 parts of the solution, 1 part is hydrochloric acid. Therefore, the ratio can be represented as 1/201 since it totals to 1 part of HCl and 200 parts of water.
To determine the volume of HCl needed, we can set up the following equation:
(1 part HCl / 201 total parts) x 500 mL = volume of HCl in mL
Now, let's calculate it step by step:
(1/201) x 500 mL = (500/201) mL
Using a calculator, the result of (500/201) is approximately 2.487562 mL.
Therefore, approximately 2.49 mL (rounded to two decimal places) of concentrated hydrochloric acid is needed to prepare a 500 mL solution with a 1:200 HCl ratio.
Please note that the answer may slightly differ based on the significant figures used during calculations and rounding.
To solve this problem, we need to find out how much concentrated hydrochloric acid is needed to prepare a 1:200 HCl solution.
Let's start by understanding the concentration of a 1:200 HCl solution. A 1:200 solution means that there is 1 part of HCl in every 200 parts of the final solution.
To calculate the volume of concentrated HCl needed, we can set up a proportion:
(1 part HCl / 200 parts solution) = (x ml HCl / 500 ml solution)
Cross-multiplying, we get:
200 * x ml HCl = 1 * 500 ml solution
x ml HCl = (1 * 500 ml solution) / 200
x ml HCl = 2.5 ml
So, to prepare 500 ml of a 1:200 HCl solution, you would need 2.5 ml of concentrated hydrochloric acid (not 2.12 ml).