It is required to make 12 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.

Respuesta :

Answer:

There are required 8 g of W and 4 g of X

Explanation:

Hi, first this is what we know:

a) W, X and Y are used in a 2:1:3 ratio to produce Z, meaning this that for each  gram of X used, 2 grams of W and 3 of Y are required.

b) Also, for each gram of X: 1 g X + 2 g W + 3 g Y= 6 g Z

Being that said, to produce 12 g  of  Z:

[tex]m_X=12 g Z* \frac{1g X}{6g Z}=2 g X[/tex]

Following the ratio described in a) for the 12 g of Z 4 g W and 6 g Y are required.

On the other hand, to make those 6 g Y you required 4 g of W and 2 g of X

So, the total mass of W and X is :

[tex]m_{X-tot}=2 g + 2 g= 4g[/tex]

[tex]m_{W-tot}=4 g + 4 g= 8g[/tex]