Question

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.

Answer 1

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

Step-by-step 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:

`m_X=12 g Z* (1g X)/(6g Z)=2 g X`

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 :

`m_(X-tot)=2 g + 2 g= 4g`

`m_(W-tot)=4 g + 4 g= 8g`