Answer:
65.2 g of [tex]Na_{2}SO_{3}[/tex] and 9.3 g of [tex]H_{2}O[/tex] were formed
Explanation:
Balanced reaction:
[tex]SO_{2}+2NaOH\rightarrow Na_{2}SO_{3}+H_{2}O[/tex]
Molar mass of [tex]SO_{2}[/tex] = 64 g
Molar mass of NaOH = 40 g
Molar mass of [tex]Na_{2}SO_{3}[/tex] = 126 g
Molar mass of [tex]H_{2}O[/tex] = 18 g
36.8 g of [tex]SO_{2}[/tex] = [tex]\frac{36.8}{64}moles[/tex] of [tex]SO_{2}[/tex] = 0.575 moles of [tex]SO_{2}[/tex]
20.7 g of NaOH = [tex]\frac{20.7}{40}moles[/tex] of NaOH = 0.5175 moles of NaOH
According to balanced equation-
2 moles of NaOH react with 1 mol of [tex]SO_{2}[/tex] to produce 1 mol of [tex]Na_{2}SO_{3}[/tex] and 1 mol of [tex]H_{2}O[/tex] .
So, 0.5175 moles of NaOH react with [tex]\frac{0.5175}{2}[/tex] moles of [tex]SO_{2}[/tex] or 0.25875 moles of [tex]SO_{2}[/tex] to produce 0.5175 moles of [tex]Na_{2}SO_{3}[/tex] and 0.5175 moles of [tex]H_{2}O[/tex].
So, mass of [tex]Na_{2}SO_{3}[/tex] formed = ([tex]0.5175\times 126[/tex]) g = 65.2 g
mass of [tex]H_{2}O[/tex] formed = ([tex]0.5175\times 18[/tex]) g = 9.3 g