How many grams of 10% wt BaCl2 solution will be necessary to produce 5.6g BaCl2?
To determine the number of grams of a 10% wt BaCl2 solution needed to produce 5.6g BaCl2, we need to understand the concept of a solution's mass percentage and use it in a calculation.
First, let's break down what "10% wt BaCl2 solution" means. This notation indicates that the solution contains 10 grams of BaCl2 per 100 grams of solution.
Now, let's set up the equation:
(grams of BaCl2 / grams of solution) × 100 = percentage by weight
We know that the percentage by weight is 10%, so we can rewrite the equation as:
(grams of BaCl2 / grams of solution) × 100 = 10
Next, let's assign variables to the unknown values. Let's say we need x grams of the 10% wt BaCl2 solution to produce 5.6g of BaCl2. This means our equation becomes:
(5.6g / x grams) × 100 = 10
Now, we can solve for x:
(5.6g / x grams) × 100 = 10
560g / x grams = 10
560g = 10x grams
56g = x grams
Therefore, to produce 5.6g of BaCl2, we would need 56 grams of the 10% wt BaCl2 solution.