   Chapter 4, Problem 98GQ

Chapter
Section
Textbook Problem

A Commercial sodium "hydrosulfite" is 90.1% Na2S2O4. The sequence of reactions used to prepare the compound isZn(s) + 2 SO2(g) → ZnS2O4(s)ZnS2O4(s) + Na2CO3(aq) → ZnCO3(s) + Na2S2O4(aq)(a) What mass of pure Na2S2O4 can be prepared from 125 kg of Zn, 500. g of SO2, and an excess of Na2CO3?(b) What mass of the commercial product would contain the Na2S2O4, produced using the amounts of reactants in part (a)?

(a)

Interpretation Introduction

Interpretation:

The mass of pure Na2S2O4 prepared from 125kg zinc and 500g of SO2 and an excess of Na2CO3 has to be determined.

Concept introduction:

Numberofmole=GivenmassofthesubstanceMolarmass

• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
• For chemical reaction balanced chemical reaction equation written in accordance with the Law of conservation of mass.
• Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.
• Stoichiometric factor is a relationship between reactant and product which is obtained from the balanced chemical equation for a particular reaction.
Explanation

Balanced chemical equations for the given reactions are,

Zn(s)+2SO2(g)ZnS2O4(s)ZnS2O4(s)+Na2CO3(aq)ZnCO3(s)+Na2S2O4(aq)

The amount (in moles) of Zn available can be calculated by using the equation,

No.ofmole = GivenmassofthesubstanceMolarmassNo. of mole of Zn = 125000×1molZn65.38gZn =1911.9molZn

The amount (mole) of SO2 available can be calculated as follows,

500gSO2×1molSO264.006gSO2=7

(b)

Interpretation Introduction

Interpretation:

The mass of product produced using the given amount of reactant has to be determined.

Concept introduction:

Numberofmole=GivenmassofthesubstanceMolarmass

• The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
• For chemical reaction balanced chemical reaction equation written in accordance with the Law of conservation of mass.
• Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.
• Stoichiometric factor is a relationship between reactant and product which is obtained from the balanced chemical equation for a particular reaction.

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