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Published on: 03/10/2019
Equilibrium
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1.
Dihydrogen gas is obtained from natural gas by partial oxidation with steam as per following endothermic reaction.
\({ CH }_{ 4 }\left( g \right) +{ H }_{ 2 }O\left( g \right) \rightleftharpoons { CO }\left( g \right) +3{ H }_{ 2 }\left( g \right) \)
How will the value of Kp and composition of equilibrium mixture be affected by
(a) increasing the pressure
(b) increasing the temperature
(c) using a catalyst?
2.
The pH of milk, black coffee, tomato juice, lemon juice and egg white are 6.8,5.0,4.2,2.2 and 7.8 respectively. Calculate the corresponding hydrogen ion concentration in each.
3.
4.
Calculate degree of hydrolysis,
5.
At certain temperature and under a pressure of 4 atm, PCl5 is 10% dissociated.
Calculate the pressure at which PCl5 will be 20% dissociated at temperature remaining constant.
6.
Dihydrogen gas is obtained from natural gas by partial oxidation with steam as per following endothermic reaction.
\({ CH }_{ 4 }\left( g \right) +{ H }_{ 2 }O\left( g \right) \rightleftharpoons { CO }\left( g \right) +3{ H }_{ 2 }\left( g \right) \)
(a) Write as expression for Kp for the above reaction.
(b) How will the values of Kp and composition of equilibrium mixture be affected by
(i) increasing the pressure
(ii) increasing the temperature
(iii) using a catalyst?
7.
On the basic of Le-Chatelier principle explain how temperature and pressure can be adjusted to increase the yield of ammonia in the following reaction.
\({ N }_{ 2 }\left( g \right) +3{ H }_{ 2 }\left( g \right) \rightleftharpoons 2{ NH }_{ 3 }\left( g \right) \triangle H=192.38 \ KJ \ { mol }^{ -1 }\) What will be the effect of addition of argo to the above reaction mixture at constant volume?
8.
Calculate the pH of a buffer which is 0.1 M in acetic acid and 0.15 M in sodium acetate. Given that the ionisation costants of acetic acid is 1.75 x 10-5. Also calculate the change in pH of the buffer if to 1L of the buffer 1 cc of 1 M NaOH are added.
9.
What happens to an equilibrium in a reversible reaction if a catalyst is added to it?
1.
(i) According to Le Chatelier’s principle, the equilibrium will shift in the backward direction.
(ii) According to Le Chatelier’s principle, as the reaction is endothermic, the equilibrium will shift in the forward direction.
(iii) The equilibrium of the reaction is not affected by the presence of a catalyst. A catalyst only increases the rate of a reaction. Thus, equilibrium will be attained quickly.
2.
pH of tomato juice = 4.2
\(\log { \left[ { H }^{ + } \right] } =-4.2=\bar { 5 } .80\)
\( \left[ { H }^{ + } \right] =antilog \ \bar { 5 } .80=6.310\times { 10 }^{ -5 }\)
3.
4.
2.42 x 10-4
5.
Calculation of Kp
PCl5(g) ⇌ PCl3(g) + Cl2 (g)
1 0 0
(1- α) α α
Total no. of moles in the equilibrium mixture = 1 - α + α + α
= (1 + α) mol.
Let the total pressure of equilibrium mixture = p atm
Partial pressure of PCl5
\(p_{ { PCI }_{ 5 } }\ =\ \frac { 1-\alpha }{ 1+\alpha } \times p\ atm\)
Partial pressure of PCI3 = \(\ \frac { \alpha }{ 1+\alpha } \times p\ atm\)
Partial pressure of CI2
\(p_{ { CI }_{ 2 } }\ =\ \frac { \alpha }{ 1+\alpha } \times p\ atm\)
Kp = \(\frac { { p }_{ { PCI }_{ 3 } }\times { p }_{ { CI }_{ 2 } } }{ { p }_{ PCI_{ s } } } \)
= \(\frac { \left( \frac { \alpha }{ 1+\alpha } p\ atm \right) \left( \frac { \alpha }{ 1+\alpha } p\ atm \right) }{ \frac { 1-\alpha }{ 1+\alpha } p\ atm } =\frac { { \alpha }^{ 2 }p }{ 1-\alpha ^{ 2 } } atm\)
P = 4 atm and α = 10% = \(\frac { 10 }{ 100 } \) = 0.1
Kp = \(\frac { (0.1)\times (0.1)\times (4\ atm) }{ 1-(0.1{ ) }^{ 2 } } \)
= \(\frac { 0.04 }{ 0.99 } \) = 0.04 atm.
Calculation of P under new condition
α = 0.2, Kp = 0.04 atm
Kp = \(\frac { { \alpha }^{ 2 }p }{ 1-\alpha ^{ 2 } } \)or \(\frac { { K_{ p }(1-\alpha }^{ 2 }) }{ \alpha ^{ 2 } } \)
= \(\frac { (0.04atm)[(1-(0.2)^{ 2 }] }{ (0.2{ ) }^{ 2 } } \)
= \(\frac { 0.04atm\times 0.96 }{ 0.04 } \)
= 0.96 atm.
6.
(a) For the given reaction,

(b) (i) According to Le Chatelier’s principle, the equilibrium will shift in the backward direction.
(ii) According to Le Chatelier’s principle, as the reaction is endothermic, the equilibrium will shift in the forward direction.
(iii) The equilibrium of the reaction is not affected by the presence of a catalyst. A catalyst only increases the rate of a reaction. Thus, equilibrium will be attained quickly.
7.
\({ N }_{ 2 }\left( g \right) +3{ H }_{ 2 }\left( g \right) \rightleftharpoons 2{ NH }_{ 3 }\left( g \right) \triangle H=192.38 \ KJ \ { mol }^{ -1 }\)It is an exothermic process as \(\triangle H\) is negative.
Effect of temperature According to Le-Chatelier's principle, low temperature is favourable for high yield of ammonia, but practically very low temperature slow down the reaction. So, optimum temperature 700 K is favourable in attainment of equilibrium.
Effect of pressure Similarly, high pressure about 200 atm is favourable for high yield of ammonia. On increasing pressure, reaction goes in the forward direction because the number of moles decreases in the forward direction.
Addition of argon At constant volume addition of argon does not affect the equilibrium because it does not change the partial pressure of the reactants or products incolved in the reaction and the equilibrium remains undisturbed.
8.
\(pH={ pK }^{ a }+\log { \frac { \left[ Salt \right] }{ \left[ Acid \right] } } =-\log { \left( 1.75\times { 10 }^{ -5 } \right) } +\log { \frac { 0.15 }{ 0.10 } } \quad \)
= (5 - 0.2430) + 0.1761 =4.757 + 0.1761 = 4.933
1 cc of 1 M NaOH contains NaOH = 10-3 mol. This will convent 10-3 mol of acetic acid into the salt so that salt formed = 10-3 mol.
Now, [Acid] = 0.10 - 0.001 = 0.099 M
[Salt] = 0.15 + 0.001 = 0.151 M
pH = 4.757 + \(\log { \frac { 0.151 }{ 0.099 } } \)
= 4.757 + 0.183 =4.940
Increase in pH = 4.940 - 4.933 = 0.007 which is negligible.
9.
When catalyst is added, the state of equilibrium is not distributed but equilibrium is attained quickly. This is because the catalyst increases the rate of forward and backward reaction to the same extent.
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