
(a)
Interpretation:
Whether I− or Br− has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(a)

Answer to Problem 13.35P
I− will have a smaller ΔHhydration.
Explanation of Solution
Both bromine and iodine are present in the same group of the periodic table. But iodine lies below bromine so it will have a large size and volume than that of bromine. So I− will have a lower ratio of charge to volume than that of Br− and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
(b)
Interpretation:
Whether Sc3+ or Ca2+ has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(b)

Answer to Problem 13.35P
Ca2+ will have a smaller ΔHhydration.
Explanation of Solution
The charge on Ca2+ is less than that of Sc3+. So Ca2+ will have a lower ratio of charge to volume than that of Sc3+ and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
(c)
Interpretation:
Whether K+ or Br− has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(c)

Answer to Problem 13.35P
Br− will have a smaller ΔHhydration.
Explanation of Solution
The anions are larger than cations so the ionic volume of Br− is more than that of K+ and therefore Br− will have a lower ratio of charge to volume than that of K+ and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
(d)
Interpretation:
Whether Cl− or S2− has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(d)

Answer to Problem 13.35P
Cl− will have a smaller ΔHhydration.
Explanation of Solution
Cl− has a smaller ionic charge as compared to S2−. So Cl− will have a lower ratio of charge to volume than that of S2− and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
(e)
Interpretation:
Whether Sc3+ or Al3+ has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(e)

Answer to Problem 13.35P
Sc3+ will have a smaller ΔHhydration.
Explanation of Solution
The size of scandium is larger than that of aluminium so Sc3+ will have the larger volume as compared to that of Al3+. So Sc3+ will have a lower ratio of charge to volume than that of Al3+ and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
(f)
Interpretation:
Whether ClO−4 or SO2−4 has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(f)

Answer to Problem 13.35P
ClO−4 will have a smaller ΔHhydration.
Explanation of Solution
The charge on ClO−4 is less than that of SO2−4. So ClO−4 will have a lower ratio of charge to volume than that of SO2−4 and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
(g)
Interpretation:
Whether Fe2+ or Fe3+ has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(g)

Answer to Problem 13.35P
Fe2+ will have a smaller ΔHhydration.
Explanation of Solution
The ionic charge of Fe2+ is less than that of Fe3+. So the ratio of ionic charge to the volume of Fe2+ will be lower than that of Fe3+ and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
(h)
Interpretation:
Whether K+ or Ca2+ has smaller ΔHhydration is to be determined.
Concept introduction:
The charge density is defined as the ratio of ionic charge and volume. It is directly proportional to the ionic charge and inversely proportional to the ionic volume. Volume is directly related to the ionic size. Smaller ion will have the charge spread over a small space so charge density will be more and vice-versa.
The enthalpy change of hydration is the enthalpy change when one mole of the ionic species is dissolved in water to give a solution of infinite dilution. It is represented by ΔHhydration. It is always negative.
ΔHhydration is directly related to the charge density on an ion. Higher the charge density, more will be ΔHhydration and vice-versa.
(h)

Answer to Problem 13.35P
K+ will have a smaller ΔHhydration.
Explanation of Solution
The ionic charge of K+ is smaller than that of Ca2+. So K+ will have a lower ratio of charge to volume than that of Ca2+ and therefore it has smaller ΔHhydration.
The species with a lower ratio of ionic charge to volume has smaller ΔHhydration.
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Chapter 13 Solutions
Student Study Guide for Silberberg Chemistry: The Molecular Nature of Matter and Change
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- Provide the reasonable steps to achieve the following synthesis.arrow_forwardWhen anisole is treated with excess bromine, the reaction gives a product which shows two singlets in 1H NMR. Draw the product.arrow_forward(ii) Draw a reasonable mechanism for the following reaction: CI NaOH heat OH (hint: SNAr Reaction) :arrow_forward
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