A particular household ammonia solution ( = 0.97 ) is 6.8% by mass.How many milliliters of this solution should be diluted with water to produce 650 of a solution with = 11.60?
To solve this problem, we need to determine the volume of the household ammonia solution that should be diluted with water to obtain the desired concentration.
Let's break down the problem into steps:
Step 1: Calculate the mass of ammonia in the desired solution.
To do this, we use the formula:
mass = concentration × volume
Given that the desired concentration is 11.60 ( = 0.1160) and the desired volume is 650 mL, we can calculate the mass of ammonia as follows:
mass = 0.1160 × 650 = 75.40 grams
Step 2: Calculate the mass of the household ammonia solution needed.
Since the concentration of the household ammonia solution is 6.8% by mass, we can calculate the mass of the household ammonia solution as follows:
mass of solution = mass of ammonia / (concentration / 100)
mass of solution = 75.40 / (6.8 / 100) = 1111.76 grams
Step 3: Calculate the volume of the household ammonia solution needed.
To find the volume, we need to know the density of the household ammonia solution. Let's assume it is 0.97 g/mL.
volume of solution = mass of solution / density
volume of solution = 1111.76 / 0.97 = 1146.95 mL
Therefore, you should dilute approximately 1147 mL of the household ammonia solution with water to obtain 650 mL of a solution with the desired concentration.