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Published on: 16/09/2019
Equilibrium
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1.
PCI5' PCl3 and Cl2 are at equilibrium at 500 K and having concentration 1.59M PCI3' 1.59M Cl2 and 1.41M PCls' Calculate Kc for the reaction PCls ⇌ PCl3 + Cl2
2.
The value of Kc for the reaction 2A ⇌ B + C is 2 x 10-3. At a given time, thecomposition of reaction mixture is [A] = [B] = [C] = 3 x 10-4 M. In which direction the reaction will proceed?
3.
(a) In the reaction A + B ⇌ C + D, what will happen to the equilibrium if concentration of A is increased?
(b) The equilibrium constant for a reaction is 2 x 10-23 at 25oC and 2 x 10-2 at 5O°C. Is the reaction endothermic or exothermic?
(c) Mention at least three ways by which the concentration of SO3 can be increased in the following reaction in a state of equilibrium.
4.
SO32- is Bronsted base or acid and why?
5.
State Ostwald's dilution law.
6.
How does a catalyst affect the equilibrium constant?
7.
What is meant by ionic product of water (kw) ?
8.
Define ionic equilibrium.
9.
State the law of mass action?
10.
What is meant by equilibrium?
11.
Explain why pure liquids and solids can be ignored while writing the equilibrium constant expression?
12.
Which of the following reactions involve homogeneous equilibrium and which involve heterogeneous equilibrium?
(i) \({ Ag }_{ 2 }O(s)+2HN{ O }_{ 3 }(aq)\rightleftharpoons 2{ Ag }NO_{ 3 }(aq)+{ H }_{ 2 }O(l)\)
(ii) \(C(s)+CO_{ 2 }(g)\rightleftharpoons 2CO(g)\)
(iii) \(CH_{ 3 }COOC_{ 2 }H_{ 5 }(aq)+{ H }_{ 2 }O(l)\rightleftharpoons CH_{ 3 }COOH(aq)+{ C }_{ 2 }{ H }_{ 5 }OH(aq)\)
(iv) \(2SO_{ 2 }(g)+O_{ 2 }(g)\rightleftharpoons 2SO_{ 3 }(g)\)
(v) \(2Cu\left( { NO }_{ 3 } \right) _{ 2 }(s)\rightleftharpoons 2Cuo(s)+4{ No }_{ 2 }(g)+{ O }_{ 2 }(g)\)
(vi) \({ CH }_{ 3 }COO{ C }_{ 2 }{ H }_{ 5 }(aq)+{ H }_{ 2 }O(l)\rightleftharpoons { CH }_{ 3 }COOH(aq)+{ C }_{ 2 }{ H }_{ 5 }OH(aq)\)
(vii) \({ Fe }^{ 3+ }(aq)+3{ OH }^{ - }(aq)\rightleftharpoons Fe(OH)_{ 3 }(s)\)
(viii) \({ I }_{ 2 }(s)+5{ F }_{ 2 }(g)\rightleftharpoons 2I{ F }_{ 5 }(g)\)
13.
How much volume of 0.1 M HAc should be added to 50 mL of 0.2 M HAc solution if we want to prepare a buffer solution of pH 4.91. Given pKa for acetic acid is 4.76.
1.
The equilibrium constant Kc for the above reaction can be written as,
Kc = \(\frac { \left[ PCI_{ 3 } \right] \left[ CI_{ 2 } \right] }{ \left[ PCI_{ 5 } \right] } \)
= \(\frac { (1.59)^{ 2 } }{ 1.41 } \)
= 1.79
2.
For the reaction the reaction quotient Qc is given by, Qc = [B] [C] / [A]2
as [A] = [B] = [C] = 3 x 10-4M
Qc = (3 x 10-4) (3 x 10-4) / (3 x 10-4)2 = 1
as Qc > Kc, so the reaction will proceed in the reverse direction.
3.
(a) The reaction will shift in the forward direction.
(b) Endothermic
(c) (i) lowering the temperature
(ii) increasing pressure.
(iii) increasing concentration of oxygen.
4.
SO32- is Bronsted base because it can accept H+ .
5.
Ostwald's dilution law states that the degree of dissociation of weak electrolyte is inversely proportional to square root of its concentration.
\(\alpha =\sqrt { \frac { { K }_{ a } }{ C } } ,\alpha =\sqrt { \frac { K_{ b } }{ C } } \)
Where, Ka and Kb are acid dissociations and base dissociation constants.
6.
The equilibrium constant is not affected by a catalyst.
7.
It is the product of concentration of [H3O+] and [OH-] at a specific temperature.
Kw = [H3O+] [OH-]
= 1.0 x 10-14 at 298 K
8.
The equilibrium between ions and unionised molecules is called ionic equilibrium.
9.
It states that the rate at which a substance reacts is directly proportional to its molar concentration.
10.
Equilibrium is a state at which rate of forward reaction is equal to the rate of backward reaction.
11.
This is because molar concentration of a pure solid or liquid is independent of the amount present.
Molar concentration = \(\frac { No.of\ moles }{ volume } \times \frac { Mass }{ volume } \times Density\)
Since density of pure liquid or solid is fixed and molar mass is also fixed. Therefore molar concentration are constant.
12.
(i) Heterogeneous equilibrium
(ii) Heterogeneous equilibrium
(iii) Homogeneous equilibrium
(iv) Homogeneous equilibrium
(v) \({ K }_{ c }=\left[ { No }_{ 2 } \right] ^{ 4 }\left[ { O }_{ 2 } \right] \)
(because molar concentrations of pure solids are constant)
(vi) \({ K }_{ c }=\frac { \left[ CH_{ 3 }COOH \right] \left[ { C }_{ 2 }{ H }_{ 2 }OH \right] }{ \left[ { CH }_{ 3 }COO{ C }_{ 2 }{ H }_{ 5 } \right] \left[ { H }_{ 2 }O(l) \right] } \)
(vii) \({ K }_{ c }=\frac { 1 }{ \left[ { Fe }^{ 3+ } \right] .\left[ { OH }^{ 1 } \right] ^{ 3 } } \) because [Fe(OH)3 (s) = 1]
(viii) \({ K }_{ c }=\frac { \left[ { IF }_{ 5 } \right] ^{ 2 } }{ \left[ { F }_{ 2 } \right] ^{ 5 } } \)(because [I2(s) = 1])
13.
\(p H=p K_a+\log \cdot \frac{[\text { Salt }]}{[\text { Acid }]}, \text { i.e. }, 4.91=4.76 +\log \cdot \frac{[\text { Salt }]}{[\text { Acid }]}\)
or \( \log \cdot \frac{[\text { Salt }]}{[\text { Acid }]}=0.15 \text { or } \frac{[\text { Salt }]}{[\text { Acid }]}=\text { Anti } \log 0.15 =1.41 \)
\( \frac{\text { Moles of Salt }}{\text { Moles of Acid }}=1.41, \text { i.e., } \frac{\frac{0.2}{1000} \times 50}{\frac{0.1}{1000} \times V} \)
\( =1.41 \text { or } \frac{0.01}{1000 \mathrm{~V}}=1.41 \text { or } V=100 / 1.41 \)
\( =70.92 \mathrm{~mL}\)
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