Question

It is required to make 14 grams of certain chemical compound called Z. This is made from compounds W, X, and Y in the ratio of 2:1:3. The compound Y is itself made from W and X. To make 6 grams of Y requires 4 grams of W and 2 grams of X. How much W and X is required to make the required amount of Z?
W = __ grams
X = __ grams

Answer 1

Answer:

W = 9.33 grams

X = 4.67 grams

Step-by-step explanation:

Given;

Mass of Z to be made = 14 grams

Composition of Z

W:X:Y = 2:1:3

To make 6 grams of Y requires 4 grams of W and 2 grams of X

Composition of Y (for 6grams)

W:X = 4:2 = 2:1

Substituting the composition of Y to Z

Z = W:X:Y = 2:1:3

Z = W:X:W:X = 2:1:2:1

summing them up, we have;

Z = W:X = 4:2 = 2:1

Since the final mixing ratio for W and X are 2:1, to make 14 grams of Z, we need;

W = 2/3 × 14grams = 28/3 grams

W = 9.33 grams

X = 1/3 × 14grams = 14/3 grams

X = 4.67 grams