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What are the mole fractions of H 3 PO 4 and water in a solution of 14.5 g of H 3 PO 4 in 125 g of water?

(a) Outline the steps necessary to answer the question.

(b) Answer the question.

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What are the mole fractions of HNO 3 and water in a concentrated solution of nitric acid (68.0% HNO 3 by mass)?

(a) Outline the steps necessary to answer the question.

(b) Answer the question.

(a) Find number of moles of HNO 3 and H 2 O in 100 g of the solution. Find the mole fractions for the components.
(b) The mole fraction of HNO 3 is 0.378. The mole fraction of H 2 O is 0.622.

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Calculate the mole fraction of each solute and solvent:

(a) 583 g of H 2 SO 4 in 1.50 kg of water—the acid solution used in an automobile battery

(b) 0.86 g of NaCl in 1.00 × 10 2 g of water—a solution of sodium chloride for intravenous injection

(c) 46.85 g of codeine, C 18 H 21 NO 3 , in 125.5 g of ethanol, C 2 H 5 OH

(d) 25 g of I 2 in 125 g of ethanol, C 2 H 5 OH

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Calculate the mole fraction of each solute and solvent:

(a) 0.710 kg of sodium carbonate (washing soda), Na 2 CO 3 , in 10.0 kg of water—a saturated solution at 0 °C

(b) 125 g of NH 4 NO 3 in 275 g of water—a mixture used to make an instant ice pack

(c) 25 g of Cl 2 in 125 g of dichloromethane, CH 2 Cl 2

(d) 0.372 g of histamine, C 5 H 9 N, in 125 g of chloroform, CHCl 3

(a) X Na 2 CO 3 = 0.0119 ; X H 2 O = 0.988 ; (b) X NH 4 NO 3 = 0.9927 ; X H 2 O = 0.907 ; (c) X Cl 2 = 0.192 ; X CH 2 CI 2 = 0.808 ; (d) X C 5 H 9 N = 0.00426 ; X CHCl 3 = 0.997

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Calculate the mole fractions of methanol, CH 3 OH; ethanol, C 2 H 5 OH; and water in a solution that is 40% methanol, 40% ethanol, and 20% water by mass. (Assume the data are good to two significant figures.)

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What is the difference between a 1 M solution and a 1 m solution?

In a 1 M solution, the mole is contained in exactly 1 L of solution. In a 1 m solution, the mole is contained in exactly 1 kg of solvent.

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What is the molality of phosphoric acid, H 3 PO 4 , in a solution of 14.5 g of H 3 PO 4 in 125 g of water?

(a) Outline the steps necessary to answer the question.

(b) Answer the question.

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What is the molality of nitric acid in a concentrated solution of nitric acid (68.0% HNO 3 by mass)?

(a) Outline the steps necessary to answer the question.

(b) Answer the question.

(a) Determine the molar mass of HNO 3 . Determine the number of moles of acid in the solution. From the number of moles and the mass of solvent, determine the molality. (b) 33.7 m

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Calculate the molality of each of the following solutions:

(a) 583 g of H 2 SO 4 in 1.50 kg of water—the acid solution used in an automobile battery

(b) 0.86 g of NaCl in 1.00 × 10 2 g of water—a solution of sodium chloride for intravenous injection

(c) 46.85 g of codeine, C 18 H 21 NO 3 , in 125.5 g of ethanol, C 2 H 5 OH

(d) 25 g of I 2 in 125 g of ethanol, C 2 H 5 OH

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Calculate the molality of each of the following solutions:

(a) 0.710 kg of sodium carbonate (washing soda), Na 2 CO 3 , in 10.0 kg of water—a saturated solution at 0°C

(b) 125 g of NH 4 NO 3 in 275 g of water—a mixture used to make an instant ice pack

(c) 25 g of Cl 2 in 125 g of dichloromethane, CH 2 Cl 2

(d) 0.372 g of histamine, C 5 H 9 N, in 125 g of chloroform, CHCl 3

(a) 6.70 × 10 −1 m ; (b) 5.67 m ; (c) 2.8 m ; (d) 0.0358 m

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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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