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(a)
Interpretation:
The reason for different values of ΔrG° for following two equations should be explained.
Mg(OH)2(s)+2H+(aq)⇌Mg2+(aq)+2H2O(l) ΔrG° =−95.5 kJ/mole
12Mg(OH)2(s)+H+(aq)⇌12Mg2+(aq)+H2O(l) ΔrG° =−47.8 kJ/mole
Concept introduction:
The Gibb’s equation of
ΔG = ΔH - TΔS
With the help of this equation, one can predict the change in ΔS, ΔH and ΔG. Kp or Kc are the equilibrium constants for the reaction which are ratio of gaseous and aqueous products and reactant molecules.
A + B ⇌C + D
K = Kp = [PC] [PD][PA] [PB]
Here, ‘a’ represents the active mass and ‘P’ represents the partial pressure.
The relation between equilibrium constant and ΔrG° can be written as:
ΔrG° = - 2.303 RT log K
Here,
- R = 8.314 J / mol .K
- T = temperature in Kelvin
(b)
Interpretation:
Whether K for following two equations will be different or same should be explained.
Mg(OH)2(s)+2H+(aq)⇌Mg2+(aq)+2H2O(l) ΔrG° =−95.5 kJ/mole
12Mg(OH)2(s)+H+(aq)⇌12Mg2+(aq)+H2O(l) ΔrG° =−47.8 kJ/mole
Concept introduction:
The Gibb’s equation of thermodynamic purposed a relation between ΔS, ΔH and ΔG with temperature. The mathematical expression of Gibb’s equation can be written as:
ΔG = ΔH - TΔS
With the help of this equation, one can predict the change in ΔS, ΔH and ΔG. Kp or Kc are the equilibrium constants for the reaction which are ratio of gaseous and aqueous products and reactant molecules.
A + B ⇌C + D
K = Kp = [PC] [PD][PA] [PB]
Here, ‘a’ represents the active mass and ‘P’ represents the partial pressure.
The relation between equilibrium constant and ΔrG° can be written as:
ΔrG° = - 2.303 RT log K
Here,
- R = 8.314 J / mol .K
- T = temperature in Kelvin
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Chapter 13 Solutions
General Chemistry: Principles and Modern Applications (11th Edition)
- Choose the best reagents to complete the following reaction. i H A B 1. CH3CH2Na 2. H3O+ 1. CH3CH2MgBr 2. H3O+ 1. CH3MgBr Q C 2. H3O+ 1. H3O+ D 2. CH3MgBr 00 OH Q E CH³MgBrarrow_forwardThe kinetics of a gas phase reaction of the form A → Products results in a rate constant of 0.00781 M/min. For this reaction, the initial concentration of A is 0.501 M. What is the half-life for this reaction?arrow_forwardChoose the best reagents to complete the following reaction. 1. PhNa A 2. H3O+ 1. PhCH2MgBr B 2. H3O+ хё 1. PhMgBr C 2. H3O+ 00 HO Q E D 1. H3O+ 2. PhMgBr PhMgBrarrow_forward
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