Question

What is the volume in liters of 423 grams of SO2

Answer 1

The volume of SO2 is 147.89L

Explanation:

Given information

`\text{The volume of SO}_2\text{ is 423 grams}`

Step 1: Find the mole of SO2 using the below formula

`\text{mole = }\frac{\text{ mass}}{\text{ molar mass}}`

Recall, the molar mass of SO2 is 64.066 g/mol

`\begin{gathered} \text{mole = }(423)/(64.066) \\ \text{mole = 6.603 moles} \end{gathered}`

Recall that, 1 mole of gas is equivalent to 22.4L at STP

Let x represents the volume of SO2

`\begin{gathered} 1\rightarrow22.4L_{} \\ 6.603\rightarrow\text{ x} \\ \text{cross multiply} \\ 1\text{ }* x\text{ = 6.603 }*22.4 \\ x\text{ = 147.89L} \end{gathered}`

Hence, the volume of SO2 is 147.89L