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Key concepts and summary

The stoichiometry of chemical reactions may serve as the basis for quantitative chemical analysis methods. Titrations involve measuring the volume of a titrant solution required to completely react with a sample solution. This volume is then used to calculate the concentration of analyte in the sample using the stoichiometry of the titration reaction. Gravimetric analysis involves separating the analyte from the sample by a physical or chemical process, determining its mass, and then calculating its concentration in the sample based on the stoichiometry of the relevant process. Combustion analysis is a gravimetric method used to determine the elemental composition of a compound by collecting and weighing the gaseous products of its combustion.

Chemistry end of chapter exercises

What volume of 0.0105-M HBr solution is required to titrate 125 mL of a 0.0100- M Ca(OH) 2 solution?
Ca ( OH ) 2 ( a q ) + 2 HBr ( a q ) CaBr 2 ( a q ) + 2 H 2 O ( l )

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Titration of a 20.0-mL sample of acid rain required 1.7 mL of 0.0811 M NaOH to reach the end point. If we assume that the acidity of the rain is due to the presence of sulfuric acid, what was the concentration of sulfuric acid in this sample of rain?

3.4 × 10 −3 M H 2 SO 4

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What is the concentration of NaCl in a solution if titration of 15.00 mL of the solution with 0.2503 M AgNO 3 requires 20.22 mL of the AgNO 3 solution to reach the end point?
AgNO 3 ( a q ) + NaCl ( a q ) AgCl ( s ) + NaNO 3 ( a q )

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In a common medical laboratory determination of the concentration of free chloride ion in blood serum, a serum sample is titrated with a Hg(NO 3 ) 2 solution.
2 Cl ( a q ) + Hg ( NO 3 ) 2 ( a q ) 2 NO 3 ( a q ) + HgCl 2 ( s )

What is the Cl concentration in a 0.25-mL sample of normal serum that requires 1.46 mL of 8.25 × 10 −4 M Hg(NO 3 ) 2 ( aq ) to reach the end point?

9.6 × 10 −3 M Cl

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Potatoes can be peeled commercially by soaking them in a 3-M to 6-M solution of sodium hydroxide, then removing the loosened skins by spraying them with water. Does a sodium hydroxide solution have a suitable concentration if titration of 12.00 mL of the solution requires 30.6 mL of 1.65 M HCI to reach the end point?

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A sample of gallium bromide, GaBr 2 , weighing 0.165 g was dissolved in water and treated with silver nitrate, AgNO 3 , resulting in the precipitation of 0.299 g AgBr. Use these data to compute the %Ga (by mass) GaBr 2 .

22.4%

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The principal component of mothballs is naphthalene, a compound with a molecular mass of about 130 amu, containing only carbon and hydrogen. A 3.000-mg sample of naphthalene burns to give 10.3 mg of CO 2 . Determine its empirical and molecular formulas.

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A 0.025-g sample of a compound composed of boron and hydrogen, with a molecular mass of ~28 amu, burns spontaneously when exposed to air, producing 0.063 g of B 2 O 3 . What are the empirical and molecular formulas of the compound?

The empirical formula is BH 3 . The molecular formula is B 2 H 6 .

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Sodium bicarbonate (baking soda), NaHCO 3 , can be purified by dissolving it in hot water (60 °C), filtering to remove insoluble impurities, cooling to 0 °C to precipitate solid NaHCO 3 , and then filtering to remove the solid, leaving soluble impurities in solution. Any NaHCO 3 that remains in solution is not recovered. The solubility of NaHCO 3 in hot water of 60 °C is 164 g/L. Its solubility in cold water of 0 °C is 69 g/L. What is the percent yield of NaHCO 3 when it is purified by this method?

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What volume of 0.600 M HCl is required to react completely with 2.50 g of sodium hydrogen carbonate?
NaHCO 3 ( a q ) + HCl ( a q ) NaCl ( a q ) + CO 2 ( g ) + H 2 O ( l )

49.6 mL

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What volume of 0.08892 M HNO 3 is required to react completely with 0.2352 g of potassium hydrogen phosphate?
2 HNO 3 ( a q ) + K 2 HPO 4 ( a q ) H 2 PO 4 ( a q ) + 2 KNO 3 ( a q )

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What volume of a 0.3300- M solution of sodium hydroxide would be required to titrate 15.00 mL of 0.1500 M oxalic acid?
C 2 O 4 H 2 ( a q ) + 2 NaOH ( a q ) Na 2 C 2 O 4 ( a q ) + 2 H 2 O ( l )

13.64 mL

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What volume of a 0.00945- M solution of potassium hydroxide would be required to titrate 50.00 mL of a sample of acid rain with a H 2 SO 4 concentration of 1.23 × 10 −4 M .
H 2 SO 4 ( a q ) + 2 KOH ( a q ) K 2 SO 4 ( a q ) + 2 H 2 O ( l )

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A sample of solid calcium hydroxide, Ca(OH) 2 , is allowed to stand in water until a saturated solution is formed. A titration of 75.00 mL of this solution with 5.00 × 10 −2 M HCl requires 36.6 mL of the acid to reach the end point.
Ca ( OH ) 2 ( a q ) + 2 HCl ( a q ) CaCl 2 ( a q ) + 2 H 2 O ( l )

What is the molarity?

1.22 M

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What mass of Ca(OH) 2 will react with 25.0 g of propionic acid to form the preservative calcium propionate according to the equation?

A chemical reaction is shown. To the left, a structural formula is provided for a molecule with a 4 C atom horizontal chain involving all single bonds between the C atoms. The three C atoms to the left have H atoms bonded above and below and the left most C atom also has an H atom bonded to its left side. The fourth C atom, which is toward the right end of the structure, has a double bonded O atom above and a single bonded O atom to its right. An H atom is bonded to the right of the single bonded O atom. This structure is followed by a plus sign, then the formula C a ( O H ) subscript 2. This is followed by a reaction arrow. To the right of this arrow is a structural formula that begins C a, and in parentheses has a 4 C atom horizontal chain involving all single bonds between the C atoms. The three C atoms to the left have H atoms bonded above and below, and the left most C atom also has an H atom bonded to its left side. The fourth C atom, which is toward the right end of the structure, has a double bonded O atom above and a single bonded O atom to its right. Outside the parentheses is a subscript 2. This structure is followed by a plus sign and 2 H subscript 2 O.
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How many milliliters of a 0.1500- M solution of KOH will be required to titrate 40.00 mL of a 0.0656- M solution of H 3 PO 4 ?
H 3 PO 4 ( a q ) + 2 KOH ( a q ) K 2 HPO 4 ( a q ) + 2 H 2 O ( l )

34.99 mL KOH

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Potassium acid phthalate, KHC 6 H 4 O 4 , or KHP, is used in many laboratories, including general chemistry laboratories, to standardize solutions of base. KHP is one of only a few stable solid acids that can be dried by warming and weighed. A 0.3420-g sample of KHC 6 H 4 O 4 reacts with 35.73 mL of a NaOH solution in a titration. What is the molar concentration of the NaOH?
KHC 6 H 4 O 4 ( a q ) + NaOH ( a q ) KNaC 6 H 4 O 4 ( a q ) + H 2 O ( a q )

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The reaction of WCl 6 with Al at ~400 °C gives black crystals of a compound containing only tungsten and chlorine. A sample of this compound, when reduced with hydrogen, gives 0.2232 g of tungsten metal and hydrogen chloride, which is absorbed in water. Titration of the hydrochloric acid thus produced requires 46.2 mL of 0.1051 M NaOH to reach the end point. What is the empirical formula of the black tungsten chloride?

The empirical formula is WCl 4 .

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Source:  OpenStax, Chemistry. OpenStax CNX. May 20, 2015 Download for free at http://legacy.cnx.org/content/col11760/1.9
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