ANSWER
The volume of SO2 is 147.89L
STEP-BY-STEP EXPLANATION:
Given information
[tex]\text{The volume of SO}_2\text{ is 423 grams}[/tex]Step 1: Find the mole of SO2 using the below formula
[tex]\text{mole = }\frac{\text{ mass}}{\text{ molar mass}}[/tex]Recall, the molar mass of SO2 is 64.066 g/mol
[tex]\begin{gathered} \text{mole = }\frac{423}{64.066} \\ \text{mole = 6.603 moles} \end{gathered}[/tex]Recall that, 1 mole of gas is equivalent to 22.4L at STP
Let x represents the volume of SO2
[tex]\begin{gathered} 1\rightarrow22.4L_{} \\ 6.603\rightarrow\text{ x} \\ \text{cross multiply} \\ 1\text{ }\times x\text{ = 6.603 }\times22.4 \\ x\text{ = 147.89L} \end{gathered}[/tex]Hence, the volume of SO2 is 147.89L
