Chemistry
Chemistry
4th Edition
ISBN: 9780393919370
Author: Thomas R. Gilbert
Publisher: NORTON
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Chapter 11, Problem 11.70QP
Interpretation Introduction

Interpretation: The concentration of different ions that are present in river water is given. The molality of these six different ions is to be calculated.

Concept introduction: Molality is defined as the number of moles of solute that is present in 1kg of solvent.

To determine: The molality of given six different ions that are present in the river water.

Expert Solution & Answer
Check Mark

Answer to Problem 11.70QP

Solution

The concentration of Al3+ is 0.19×10-5mol/kg_ .

The concentration of Fe3+ is 0.07×10-5mol/kg_ .

The concentration of Ca2+ is 3.3×10-4mol/kg_ .

The concentration of Na+ is 2.3×10-4mol/kg_ .

The concentration of K+ is 3.3×10-5mol/kg_ .

The concentration of Mg2+ is 1.4×10-4mol/kg_ .

Explanation of Solution

Explanation

Given

The concentration of Al3+ is 0.050mg/kg .

The concentration of Fe3+ is 0.040mg/kg .

The concentration of Ca2+ is 13.4mg/kg .

The concentration of Na+ is 5.2mg/kg .

The concentration of K+ is 1.3mg/kg .

The concentration of Mg2+ is 3.4mg/kg .

The mass of solvent is 1.0kg .

The conversion of mg into g is done as,

1mg=0.001g

Hence, the conversion of 0.050mg into g is done as,

0.050mg=0.050×0.001g=5.0×105g

Similarly, the conversion of 0.040mg into g is done as,

0.040mg=0.040×0.001g=4.0×105g

Similarly, the conversion of 13.4mg into g is done as,

13.4mg=13.4×0.001g=0.0134g

Similarly, the conversion of 5.2mg into g is done as,

5.2mg=5.2×0.001g=0.0052g

Similarly, the conversion of 1.3mg into g is done as,

1.3mg=1.3×0.001g=0.0013g

Similarly, the conversion of 3.4mg into g is done as,

3.4mg=3.4×0.001g=0.0034g

The molar mass of Aluminum is 26.98g/mol .

The molar mass of Iron is 55.85g/mol .

The molar mass of Calcium is 40.08g/mol .

The molar mass of Sodium is 22.99g/mol .

The molar mass of Potassium is 39.10g/mol .

The molar mass of Magnesium is 24.31g/mol .

The number of moles of a substance is calculated as,

Number of moles=Given massMolar mass (1)

Substitute the value of given mass and molar mass of Al3+ in the above equation as,

Number of moles=Given massMolar mass=5.0×105g26.98gmol=0.19×105mol

Similarly, substitute the value of given mass and molar mass of Fe3+ in the equation (1),

Number of moles=Given massMolar mass=4.0×105g55.85gmol=0.07×105mol

Similarly, substitute the value of given mass and molar mass of Ca2+ in the equation (1),

Number of moles=Given massMolar mass=0.0134g40.08gmol=3.3×104mol

Similarly, substitute the value of given mass and molar mass of Na+ in the equation (1),

Number of moles=Given massMolar mass=0.0052g22.99gmol=2.3×104mol

Similarly, substitute the value of given mass and molar mass of K+ in the equation (1),

Number of moles=Given massMolar mass=0.0013g39.10gmol=3.3×105mol

Similarly, substitute the value of given mass and molar mass of Mg2+ in the equation (1),

Number of moles=Given massMolar mass=0.0034g24.31gmol=1.4×104mol

The molality of the solution is calculated as,

Molality=Number of moles of soluteMass of solvent in kg (2)

Substitute the number of moles of Al3+ and mass of solvent in the above equation,

Molality=0.19×105mol1kg=0.19×10-5mol/kg_

The concentration of Al3+ is 0.19×10-5mol/kg_ .

Similarly, substitute the number of moles of Fe3+ and mass of solvent in the equation (2),

Molality=0.07×105mol1kg=0.07×10-5mol/kg_

The concentration of Fe3+ is 0.07×10-5mol/kg_ .

Similarly, substitute the number of moles of Ca2+ and mass of solvent in the equation (2),

Molality=3.3×104mol1kg=3.3×10-4mol/kg_

The concentration of Ca2+ is 3.3×10-4mol/kg_ .

Similarly, substitute the number of moles of Na+ and mass of solvent in the equation (2),

Molality=2.3×104mol1kg=2.3×10-4mol/kg_

The concentration of Na+ is 2.3×10-4mol/kg_ .

Similarly, substitute the number of moles of K+ and mass of solvent in the equation (2),

Molality=3.3×105mol1kg=3.3×10-5mol/kg_

The concentration of K+ is 3.3×10-5mol/kg_ .

Similarly, substitute the number of moles of Mg2+ and mass of solvent in the equation (2),

Molality=1.4×104mol1kg=1.4×10-4mol/kg_

The concentration of Mg2+ is 1.4×10-4mol/kg_ .

Conclusion

The concentration of Al3+ is 0.19×10-5mol/kg_ .

The concentration of Fe3+ is 0.07×10-5mol/kg_ .

The concentration of Ca2+ is 3.3×10-4mol/kg_ .

The concentration of Na+ is 2.3×10-4mol/kg_ .

The concentration of K+ is 3.3×10-5mol/kg_ .

The concentration of Mg2+ is 1.4×10-4mol/kg_ .

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Chapter 11 Solutions

Chemistry

Ch. 11.5 - Prob. 13PECh. 11.6 - Prob. 14PECh. 11 - Prob. 11.1VPCh. 11 - Prob. 11.2VPCh. 11 - Prob. 11.3VPCh. 11 - Prob. 11.4VPCh. 11 - Prob. 11.5VPCh. 11 - Prob. 11.6VPCh. 11 - Prob. 11.7VPCh. 11 - Prob. 11.8VPCh. 11 - Prob. 11.9QPCh. 11 - Prob. 11.10QPCh. 11 - Prob. 11.11QPCh. 11 - Prob. 11.12QPCh. 11 - Prob. 11.13QPCh. 11 - Prob. 11.14QPCh. 11 - Prob. 11.15QPCh. 11 - Prob. 11.16QPCh. 11 - Prob. 11.17QPCh. 11 - Prob. 11.18QPCh. 11 - Prob. 11.19QPCh. 11 - Prob. 11.20QPCh. 11 - Prob. 11.21QPCh. 11 - Prob. 11.22QPCh. 11 - Prob. 11.23QPCh. 11 - Prob. 11.24QPCh. 11 - Prob. 11.25QPCh. 11 - Prob. 11.26QPCh. 11 - Prob. 11.27QPCh. 11 - Prob. 11.28QPCh. 11 - Prob. 11.29QPCh. 11 - Prob. 11.30QPCh. 11 - Prob. 11.31QPCh. 11 - Prob. 11.32QPCh. 11 - Prob. 11.33QPCh. 11 - Prob. 11.34QPCh. 11 - Prob. 11.35QPCh. 11 - Prob. 11.36QPCh. 11 - Prob. 11.37QPCh. 11 - Prob. 11.38QPCh. 11 - Prob. 11.39QPCh. 11 - Prob. 11.40QPCh. 11 - Prob. 11.41QPCh. 11 - Prob. 11.42QPCh. 11 - Prob. 11.43QPCh. 11 - Prob. 11.44QPCh. 11 - Prob. 11.45QPCh. 11 - Prob. 11.46QPCh. 11 - Prob. 11.47QPCh. 11 - Prob. 11.48QPCh. 11 - Prob. 11.49QPCh. 11 - Prob. 11.50QPCh. 11 - Prob. 11.51QPCh. 11 - Prob. 11.52QPCh. 11 - Prob. 11.53QPCh. 11 - Prob. 11.54QPCh. 11 - Prob. 11.55QPCh. 11 - Prob. 11.56QPCh. 11 - Prob. 11.57QPCh. 11 - Prob. 11.58QPCh. 11 - Prob. 11.59QPCh. 11 - Prob. 11.60QPCh. 11 - Prob. 11.61QPCh. 11 - Prob. 11.62QPCh. 11 - Prob. 11.63QPCh. 11 - Prob. 11.64QPCh. 11 - Prob. 11.65QPCh. 11 - Prob. 11.66QPCh. 11 - Prob. 11.67QPCh. 11 - Prob. 11.68QPCh. 11 - Prob. 11.69QPCh. 11 - Prob. 11.70QPCh. 11 - Prob. 11.71QPCh. 11 - Prob. 11.72QPCh. 11 - Prob. 11.73QPCh. 11 - Prob. 11.74QPCh. 11 - Prob. 11.75QPCh. 11 - Prob. 11.76QPCh. 11 - Prob. 11.77QPCh. 11 - Prob. 11.78QPCh. 11 - Prob. 11.79QPCh. 11 - Prob. 11.80QPCh. 11 - Prob. 11.81QPCh. 11 - Prob. 11.82QPCh. 11 - Prob. 11.83QPCh. 11 - Prob. 11.84QPCh. 11 - Prob. 11.85QPCh. 11 - Prob. 11.86QPCh. 11 - Prob. 11.87QPCh. 11 - Prob. 11.88QPCh. 11 - Prob. 11.89QPCh. 11 - Prob. 11.90QPCh. 11 - Prob. 11.91QPCh. 11 - Prob. 11.92QPCh. 11 - Prob. 11.93QPCh. 11 - Prob. 11.94QPCh. 11 - Prob. 11.95QPCh. 11 - Prob. 11.96QPCh. 11 - Prob. 11.97APCh. 11 - Prob. 11.98APCh. 11 - Prob. 11.99APCh. 11 - Prob. 11.100APCh. 11 - Prob. 11.101APCh. 11 - Prob. 11.102APCh. 11 - Prob. 11.103APCh. 11 - Prob. 11.104APCh. 11 - Prob. 11.105APCh. 11 - Prob. 11.106APCh. 11 - Prob. 11.107APCh. 11 - Prob. 11.108AP
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