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Ch.4 - Reactions in Aqueous Solution
Chapter 4, Problem 156c

(c) The brass sample in part (b) yielded 0.246 g of Zn2P2O7. What is the mass percent zinc in the brass?

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1
Identify the chemical formula of zinc pyrophosphate, which is Zn2P2O7, and note that it contains two zinc atoms per formula unit.
Calculate the molar mass of Zn2P2O7 by adding the molar masses of its constituent elements: 2 Zn, 2 P, and 7 O.
Determine the mass of zinc in one mole of Zn2P2O7 by multiplying the molar mass of zinc by 2, since there are two zinc atoms in the compound.
Calculate the mass of zinc in the given sample of Zn2P2O7 (0.246 g) by using the ratio of the mass of zinc to the molar mass of Zn2P2O7.
Determine the mass percent of zinc in the brass by dividing the mass of zinc obtained from the Zn2P2O7 by the total mass of the brass sample and multiplying by 100.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Mass Percent

Mass percent is a way of expressing the concentration of a component in a mixture. It is calculated by taking the mass of the component of interest, dividing it by the total mass of the mixture, and then multiplying by 100 to convert it into a percentage. In this case, it will help determine the proportion of zinc in the brass sample.
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Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is essential for converting between grams and moles, which is necessary for stoichiometric calculations. For zinc phosphate (Zn2P2O7), knowing its molar mass allows for accurate calculations of the mass of zinc present in the compound.
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Stoichiometry

Stoichiometry is the area of chemistry that deals with the relationships between the quantities of reactants and products in chemical reactions. It allows chemists to predict the amounts of substances consumed and produced in a reaction. In this context, stoichiometry will be used to relate the mass of Zn2P2O7 to the mass of zinc in the brass sample.
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Related Practice
Textbook Question

Sodium nitrite, NaNO2, is frequently added to processed meats as a preservative. The amount of nitrite ion in a sample can be determined by acidifying to form nitrous acid (HNO2), letting the nitrous acid react with an excess of iodide ion, and then titrating the I3 - ion that results with thiosulfate solution in the presence of a starch indicator. The unbalanced equations are (1) (2) (b) When a nitrite-containing sample with a mass of 2.935 g was analyzed, 18.77 mL of 0.1500 M Na2S2O3 solution was needed for the reaction. What is the mass percent of NO2- ion in the sample?

Textbook Question

Brass is an approximately 4:1 alloy of copper and zinc, along with small amounts of tin, lead, and iron. The mass per-cents of copper and zinc can be determined by a procedure that begins with dissolving the brass in hot nitric acid. The resulting solution of Cu2+ and Zn2+ ions is then treated with aqueous ammonia to lower its acidity, followed by addi-tion of sodium thiocyanate (NaSCN) and sulfurous acid (H2SO3) to precipitate copper(I) thiocyanate (CuSCN). The solid CuSCN is collected, dissolved in aqueous acid, and treated with potassium iodate (KIO3) to give iodine, which is then titrated with aqueous sodium thiosulfate (Na2S2O3). The filtrate remaining after CuSCN has been removed is neutralized by addition of aqueous ammonia, and a solu-tion of diammonium hydrogen phosphate ((NH4)2HPO4) is added to yield a precipitate of zinc ammonium phosphate (ZnNH4PO4). Heating the precipitate to 900 °C converts it to zinc pyrophosphate (Zn2P2O7), which is weighed. The equations are (1) (2) (3) (4) (5) (a) Balance all equations.

Textbook Question

(b) When a brass sample with a mass of 0.544 g was sub-jected to the preceding analysis, 10.82 mL of 0.1220 M sodium thiosulfate was required for the reaction with iodine. What is the mass percent copper in the brass?

Textbook Question
(d) Balance all equations.
Textbook Question

On heating a 0.200 g sample of a certain semimetal M in air, the corresponding oxide M2O3 was obtained. When the oxide was dissolved in aqueous acid and titrated with KMnO4, 10.7 mL of 0.100 M MnO4- was required for complete reac-tion. The unbalanced equation is (a) Balance the equation.

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Textbook Question

On heating a 0.200 g sample of a certain semimetal M in air, the corresponding oxide M2O3 was obtained. When the oxide was dissolved in aqueous acid and titrated with KMnO4, 10.7 mL of 0.100 M MnO4- was required for complete reac- tion. The unbalanced equation is X (b) How many moles of oxide were formed, and how many moles of semimetal were in the initial 0.200 g sample?

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