Sulfur dioxide gas reacts with sodium hydroxide to form sodium sulfite and water. The unbalanced chemical equation for this reaction is given below:SO2(g) + NaOH(s) → Na2SO3(s) + H2O(l)Assuming that you start with 36.8 g of sulfur dioxide and 20.7 g of sodium hydroxide and assuming that the reaction goes to completion, determine the mass of each product formed.g Na2SO3g H2O

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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

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