3. carbon disulfide (cs2) reacts with oxygen to form carbon dioxide and sulfur dioxide. if we have 60.0 g…

3. carbon disulfide (cs2) reacts with oxygen to form carbon dioxide and sulfur dioxide. if we have 60.0 g oxygen, what is the maximum amount of sulfur dioxide that we can obtain?

3. carbon disulfide (cs2) reacts with oxygen to form carbon dioxide and sulfur dioxide. if we have 60.0 g oxygen, what is the maximum amount of sulfur dioxide that we can obtain?

Answer

Explanation:

Step1: Write the balanced chemical equation

$CS_2 + 3O_2\rightarrow CO_2+2SO_2$

Step2: Calculate the molar mass of $O_2$

The molar mass of $O_2$ is $M_{O_2}=2\times16 = 32$ g/mol. The number of moles of $O_2$, $n_{O_2}=\frac{m}{M}=\frac{60.0}{32}= 1.875$ mol.

Step3: Determine the mole - ratio between $O_2$ and $SO_2$

From the balanced equation, the mole - ratio of $O_2$ to $SO_2$ is $3:2$.

Step4: Calculate the number of moles of $SO_2$

Let the number of moles of $SO_2$ be $n_{SO_2}$. Using the mole - ratio, $n_{SO_2}=\frac{2}{3}n_{O_2}=\frac{2}{3}\times1.875 = 1.25$ mol.

Step5: Calculate the molar mass of $SO_2$

The molar mass of $SO_2$ is $M_{SO_2}=32 + 2\times16=64$ g/mol.

Step6: Calculate the mass of $SO_2$

The mass of $SO_2$, $m_{SO_2}=n_{SO_2}\times M_{SO_2}=1.25\times64 = 80$ g.

Answer:

80 g