Question

Q.24.Consider 80.0-g samples of two different compounds consisting of only carbon and oxygen. One of the compounds consists of 21.8 g of carbon, and the other has 34.3 g of carbon. Determine the ratio in whole numbers of the masses of carbon that combine with 1.00 g of oxygen between the two compounds.

Short answer

Answer

The ratio in whole numbers of the masses of carbon that combine with 1.00 g of oxygen between the two compounds is 2:1.

Step-by-step solution

Step-by-Step SolutionStep 1: Compound formation by combining elements

The compounds can be formed by combining two or more elements in a specific ratio. The compound variety can be formed by carbon and oxygen combinations like carbon monoxide, carbon dioxide, etc.

The ratio in whole numbers of the masses of carbon that combine with 1.00 g of oxygen of compound 1

The total mass of both compounds is 80 g. It consists of oxygen and carbon. The combination of carbon mass with 1 g of oxygen for both compounds can be expressed as:

mass ration = $\frac{massofC}{massofO}$

role="math" localid="1648227891744" $$\begin{gathered} =\frac{21.8gC}{(80-21.8)gO} \\ =\frac{21.8}{58.2} \\ =0.375 \end{gathered}$$

The ratio in whole numbers of the masses of carbon that combine with 1.00 g of oxygen of compound 2

The carbon’s mass is 34.3 g. The carbon’s mass combined with the 1 g of oxygen in the compound can be expressed as:

$$\begin{gathered} massratioofcarbontooxygen=\frac{34.3g}{(80-34.3)} \\ =\frac{34.3}{45.7} \\ =0.750 \end{gathered}$$

The ratio in whole numbers of the masses of carbon that combine with 1.00 g of oxygen for both compounds

The ratio of C to O mass per gram can be expressed as:

$$\begin{gathered} ratioofthemassesofCcombinewith1gO=\frac{compound2}{compound1} \\ =\frac{0.750}{0.375} \\ =\frac{2}{1} \end{gathered}$$

The mass ratio of C that combines with 1 g of O in compound 2 and compound 1 is 2:1.