Question

through investigation, proust showed that copper carbonate always has 5.3 parts copper to 4 parts oxygen to 1 part carbon. in other words, the ratio of copper to oxygen to carbon is 5.3:4:1. the picture shows that in a 103 g sample of copper carbonate, there are 53 g of copper, 40 g of oxygen, and 10 g of carbon. in a sample of copper carbonate, how much copper and oxygen would there be for 5 g of carbon? use the ratio of copper to oxygen to carbon.

Explanation:

Step1: Calculate grams of copper

Given the ratio of copper to carbon is \(5.3:1\). If there are \(5\)g of carbon.
Let the amount of copper be \(x\). Using the proportion \(\frac{x}{5}=\frac{5.3}{1}\)
\(x = 5.3\times5\)

Step2: Calculate grams of oxygen

Given the ratio of oxygen to carbon is \(4:1\). If there are \(5\)g of carbon.
Let the amount of oxygen be \(y\). Using the proportion \(\frac{y}{5}=\frac{4}{1}\)
\(y=4\times5\)

Answer:

grams of copper: \(26.5\)
grams of oxygen: \(20\)