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A reversible reaction is one which :
The equilibrium constant \(K_c\) for the reaction
\(
\mathrm{P}_4(\mathrm{~g}) \rightleftharpoons 2 \mathrm{P}_2(\mathrm{~g})
\)
is 1.4 at \(400^{\circ} \mathrm{C}\). Suppose that 3 moles of \(\mathrm{P}_4(\mathrm{~g})\) and 2 moles of \(\mathrm{P}_2(\mathrm{~g})\) are mixed in 2 litre container at \(400^{\circ} \mathrm{C}\). What is the value of reaction quotient \(\left(Q_c\right)\) ?
In a chemical reaction equilibrium is established when :
The equilibrium constant for a reaction is \(K\), and the reaction quotient is \(Q\). For a particular reaction mixture, the ratio \(\frac{K}{Q}\) is 0.33 . This means that :
Consider the reaction \(2 \mathrm{SO}_2(g)+\mathrm{O}_2(g) \rightleftharpoons 2 \mathrm{SO}_3(g)\) for which \(K_c=278 M^{-1} .0 .001\) mole of each of the reagents \(\mathrm{SO}_2(g), \mathrm{O}_2(g)\) and \(\mathrm{SO}_3(g)\) are mixed in a 1.0 L flask. Determine the reaction quotient of the system and the spontaneous direction of the system :
For the reaction \(A(g)+3 B(g) \rightleftharpoons 2 C(g)\) at \(27^{\circ} \mathrm{C}, 2\) moles of \(A, 4\) moles of \(B\) and 6 moles of \(C\) are present in 2 litre vessel. If \(K_c\) for the reaction is 1.2 , the reaction will proceed in :
For a reversible gaseous reaction \(\mathrm{N}_2+3 \mathrm{H}_2 \rightleftharpoons 2 \mathrm{NH}_3\) at equilibrium, replaced by same number of moles of \(\mathrm{T}_2\) ( T is tritium, isotope of H and assume isotopes do \(\mathrm{n}_{\mathrm{Ot}}\) have different chemical properties) without affecting other parameters, then :
Using molar concentrations, what is the unit of \(K_c\) for the reaction?
\(
\mathrm{CH}_3 \mathrm{OH}(\mathrm{~g}) \rightleftharpoons \mathrm{CO}(\mathrm{~g})+2 \mathrm{H}_2(\mathrm{~g})
\)
What is the unit of \(K_p\) for the reaction?
\(
\mathrm{CS}_2(g)+4 \mathrm{H}_2(g) \rightleftharpoons \mathrm{CH}_4(g)+2 \mathrm{H}_2 \mathrm{~S}(g)
\)
What is the equilibrium expression for the reaction \(\mathrm{P}_4(s)+5 \mathrm{O}_2(g) \rightleftharpoons \mathrm{P}_4 \mathrm{O}_{10}(s)\)
At \(527^{\circ} \mathrm{C}\), the reaction given below has [/latex]K_c=4[/latex]
\(
\mathrm{NH}_3(g) \rightleftharpoons \frac{1}{2} \mathrm{~N}_2(g)+\frac{3}{2} \mathrm{H}_2(g)
\)
What is the \(K_p\) for the reaction?
\(
\mathrm{N}_2(g)+3 \mathrm{H}_2(g) \rightleftharpoons 2 \mathrm{NH}_3(g)
\)
The equilibrium constant for the reaction \(\mathrm{N}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}(\mathrm{g})\) at temperature (T) is \(4 \times 10^{-4}\). The value of \(K_c\) for the reaction \(\mathrm{NO}(g) \rightleftharpoons \frac{1}{2} \mathrm{~N}_2(g)+\frac{1}{2} \mathrm{O}_2(g)\) at the same temperature is :
The equilibrium constant \(K_c\) for the following reaction at \(842^{\circ} \mathrm{C}\) is \(7.90 \times 10^{-3}\). What is \(K_p\) at same temperature?
\(
\frac{1}{2} \mathrm{~F}_2(g) \rightleftharpoons \mathrm{F}(g)
\)
The equilibrium constant \(K_p\) for the following reaction at \(191^{\circ} \mathrm{C}\) is 1.24 . What is \(K_c\) ?
\(
\mathrm{B}(s)+\frac{3}{2} \mathrm{~F}_2(g) \rightleftharpoons \mathrm{BF}_3(g)
\)
For the equilibrium \(\mathrm{SO}_2 \mathrm{Cl}_2(g) \rightleftharpoons \mathrm{SO}_2(g)+\mathrm{Cl}_2(g)\), what is the temperature at which \(\frac{K_p(\mathrm{~atm})}{K_c(\mathrm{M})}=3\) ?
at \(500^{\circ} \mathrm{C}\), the value of \(K_p\) is \(1.44 \times 10^{-5}\) when partial pressure is measured in atmospheres. The corresponding value of \(K_c\) with concentration in mole litre \({ }^{-1}\), is:
For the reaction \(\mathrm{CO}(g)+\mathrm{Cl}_2(g) \rightleftharpoons \mathrm{COCl}_2(g)\) the value of \(\frac{K_c}{K_p}\) is equal to :
The concentration of a pure solid or liquid phase is not included in the expression of equilibrium constant because :
A catalyst is a substance which :
What will be the effect on the equilibrium constant on increasing temperature, it the reacion neither absorbs heat nor releases heat ?
The equilibrium constant for the reaction \(\mathrm{N}_2(g)+\mathrm{O}_2(g) \rightleftharpoons 2 \mathrm{NO}(g)\) is \(4 \times 10^{-4}\) at 200 K . In presence of a catalyst, equilibrium is attained ten times faster. Therefore, the equilibrium constant in presence of the catalyst at 200 K is :
For the reaction \(\mathrm{H}_2(g)+\mathrm{I}_2(g) \rightleftharpoons 2 \mathrm{HI}(g)\), the equilibrium constant changes with :
Consider the reactions
(i) \(2 \mathrm{CO}(\mathrm{g})+2 \mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightleftharpoons 2 \mathrm{CO}_2(\mathrm{~g})+2 \mathrm{H}_2(\mathrm{~g})\); Eqm. Constant \(=K_1\)
(ii) \(\mathrm{CH}_4(g)+\mathrm{H}_2 \mathrm{O}(g) \rightleftharpoons \mathrm{CO}(g)+3 \mathrm{H}_2(g)\); Eqm. Constant \(=K_2\)
(iii) \(\mathrm{CH}_4(g)+2 \mathrm{H}_2 \mathrm{O}(g) \rightleftharpoons \mathrm{CO}_2(g)+4 \mathrm{H}_2(g)\); Eqm. Constant \(=K_3\)
Which of the following relation is correct ?
An equilibrium mixture of the reaction \(2 \mathrm{H}_2 \mathrm{~S}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{H}_2(\mathrm{~g})+\mathrm{S}_2(\mathrm{~g})\) had 0.5 mole \(\mathrm{H}_2 \mathrm{~S}, 0.10\) mole \(\mathrm{H}_2\) and 0.4 mole \(\mathrm{S}_2\) in one litre vessel. The value of equilibrium constant \((\mathrm{K})\) in \(\mathrm{m}_{\mathrm{ol}}\) litre \({ }^{-1}\) is :
Given \(\left[\mathrm{CS}_2\right]=0.120 M,\left[\mathrm{H}_2\right]=0.10,\left[\mathrm{H}_2 \mathrm{~S}\right]=0.20\) and \(\left[\mathrm{CH}_4\right]=8.40 \times 10^{-5} M\) for the following reaction at \(900^{\circ} \mathrm{C}\), at eq. Calculate the equilibrium constant \(\left(K_c\right)\).
\(
\mathrm{CS}_2(g)+4 \mathrm{H}_2(g) \rightleftharpoons \mathrm{CH}_4(g)+2 \mathrm{H}_2 \mathrm{~S}(g)
\)
The equilibrium constant for the following reaction is 10.5 at 500 K . A system at equilibrium has \([\mathrm{CO}]=0.250 \mathrm{M}\) and \(\left[\mathrm{H}_2\right]=0.120 \mathrm{M}\). What is the \(\left[\mathrm{CH}_3 \mathrm{OH}\right]\) ?
\(
\mathrm{CO}(g)+2 \mathrm{H}_2(g) \rightleftharpoons \mathrm{CH}_3 \mathrm{OH}(g)
\)
When sulphur (in the form of \(\mathrm{S}_8\) ) is heated at temperature \(T\), at equilibrium, the pressure of \(\mathrm{S}_8\) falls by \(30 \%\) from 1.0 atm , because \(\mathrm{S}_8(g)\) is partially converted into \(\mathrm{S}_2(g)\).
Find the value of \(K_p\) for this reaction.
9.2 grams of \(\mathrm{N}_2 \mathrm{O}_4(g)\) is taken in a closed one litre vessel and heated till the following equilibrium is reached \(\mathrm{N}_2 \mathrm{O}_4(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_2(\mathrm{~g})\)
At equilibrium, \(50 \% \mathrm{~N}_2 \mathrm{O}_4(\mathrm{~g})\) is dissociated. What is the equilibrium constant (in mol litre \({ }^{-1}\) ) (molecular weight of \(\mathrm{N}_2 \mathrm{O}_4=92\) )
Two moles of \(\mathrm{NH}_3\) when put into a previously evacuated vessel (one litre), partially dissociated into \(\mathrm{N}_2\) and \(\mathrm{H}_2\). If at equilibrium one mole of \(\mathrm{NH}_3\) is present, the equilibrium constant is :
\(\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}(s) \rightleftharpoons \mathrm{CuSO}_4 \cdot 3 \mathrm{H}_2 \mathrm{O}(s)+2 \mathrm{H}_2 \mathrm{O}(g) ; K_p=4 \times 10^{-4} \mathrm{~atm}^2\). If the vapour pressure of water is 38 torr then percentage of relative humidity is : (Assume all data at constant temperature)
In the presence of excess of anhydrous \(\mathrm{SrCl}_2\), the amount of water taken up is governed by \(K_p=10^{12} \mathrm{~atm}^{-4}\) for the following reaction at 273 K
\(
\mathrm{SrCl}_2 \cdot 2 \mathrm{H}_2 \mathrm{O}(\mathrm{~s})+4 \mathrm{H}_2 \mathrm{O}(\mathrm{~g}) \rightleftharpoons \mathrm{SrCl}_2 \cdot 6 \mathrm{H}_2 \mathrm{O}(\mathrm{~s})
\)
What is equilibrium vapour pressure (in torr) of water in a closed vessel that contains \(\mathrm{SrCl}_2 \cdot 2 \mathrm{H}_2 \mathrm{O}(s)\) ?
\(\mathrm{NH}_4 \mathrm{HS}(\mathrm{s}) \rightleftharpoons \mathrm{NH}_3(\mathrm{~g})+\mathrm{H}_2 \mathrm{~S}(\mathrm{~g})\)
The equilibrium pressure at \(25^{\circ} \mathrm{C}\) is 0.660 atm . What is \(K_p\) for the reaction?
One mole of pure ethyl alcohol was treated with one mole of pure acetic acid at \(25^{\circ} \mathrm{C}\). One-third of the acid changes into ester at equilibrium. The equilibrium constant for the reaction will be :
\(\mathrm{I}_2(a q)+\mathrm{I}^{-}(a q) \rightleftharpoons \mathrm{I}_3^{-}(a q)\). We started with 1 mole of \(\mathrm{I}_2\) and 0.5 mole of \(\mathrm{I}^{-}\)in one litre flask. After equilibrium is reached, excess of \(\mathrm{AgNO}_3\) gave 0.25 mole of yellow precipitate. Equilibrium constant is :
At \(87^{\circ} \mathrm{C}\), the following equilibrium is established.
\(
\mathrm{H}_2(g)+\mathrm{S}(s) \rightleftharpoons \mathrm{H}_2 \mathrm{~S}(g) ; K_c=0.08
\)
If 0.3 mole hydrogen and 2 mole sulphur are heated to \(87^{\circ} \mathrm{C}\) in a 2 L vessel, what will be the concentration of \(\mathrm{H}_2 \mathrm{~S}\) at equilibrium ?
In the equilibrium \(2 \mathrm{SO}_2(\mathrm{~g})+\mathrm{O}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{SO}_3(\mathrm{~g})\), the partial pressure of \(\mathrm{SO}_2, \mathrm{O}_2\) and \(\mathrm{SO}_3\) are \(0.662,0.10\) and 0.331 atm respectively. What should be the partial pressure of oxygen so that the equilibrium concentrations of \(\mathrm{SO}_2\) and \(\mathrm{SO}_3\) are equal ?
When heated, ammonium carbamate decomposes as follows:
\(
\mathrm{NH}_4 \mathrm{COONH}_2(s) \rightleftharpoons 2 \mathrm{NH}_3(g)+\mathrm{CO}_2(g)
\)
At a certain temperature, the equilibrium pressure of the system is \(0.318 \mathrm{~atm} . K_p\) for the reaction is :
In a system \(A(s) \rightleftharpoons 2 B(g)+3 C(g)\), if the concentration of \(C\) at equilibrium is increased by a factor of 2 , it will cause the equilibrium concentration of \(B\) to change to :
\(A+B \rightleftharpoons C+D\). If initially the concentration of \(A\) and \(B\) are both equal but at equilibrium concentration of \(D\) will be twice of that of \(A\) then what will be the equilibrium constant of reaction ?
The equilibrium constant \(K_c\) for the reaction \(\mathrm{SO}_2(g)+\mathrm{NO}_2(g) \rightleftharpoons \mathrm{SO}_3(g)+\mathrm{NO}(g)\) is 16 . If 1 mole of each of all the four gases is taken in \(1 \mathrm{dm}^3\) vessel, the equilibrium concentration of NO would be :
On increasing the temperature, the rate of a reaction :
5 moles of \(\mathrm{SO}_2\) and 5 moles of \(\mathrm{O}_2\) are allowed to react. At equilibrium, it was found that \(60 \%\) of \(\mathrm{SO}_2\) is used up. If the pressure of the equilibrium mixture is one atmosphere, the partial pressure of \(\mathrm{O}_2\) is:
\(\mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_3(\mathrm{~g})\)
For the reaction initially the mole ratio was [/latex]1: 3[/latex] of \(\mathrm{N}_2: \mathrm{H}_2\). At equilibrium \(50 \%\) of each has reacted. If the equilibrium pressure is \(P\), the partial pressure of \(\mathrm{NH}_3\) at equilibrium is :
2.0 mole of \(\mathrm{PCl}_5\) were introduced in a vessel of 5.0 L capacity of a particular temperature. At equilibrium, \(\mathrm{PCl}_5\) was found to be \(35 \%\) dissociated into \(\mathrm{PCl}_3\) and \(\mathrm{Cl}_2\). The value of \(K_c\) for the reaction
\(
\mathrm{PCl}_3(g)+\mathrm{Cl}_2(g) \rightleftharpoons \mathrm{PCl}_5(g)
\)
for the reaction \(\mathrm{I}_2(\mathrm{~g})+\mathrm{CO}_2(\mathrm{~g}) \rightleftharpoons \mathrm{CO}(\mathrm{g})+\mathrm{H}_2 \mathrm{O}(\mathrm{g})\). If the initial concentration of \(\left[\mathrm{H}_2\right]=\left[\mathrm{CO}_2\right]\) and \(x\) moles/litre of hydrogen is consumed at equilibrium, the correct expression of \(K_p\) is :
At \(27^{\circ} \mathrm{C}\) and 1 atm pressure, \(\mathrm{N}_2 \mathrm{O}_4\) is \(20 \%\) dissociation into \(\mathrm{NO}_2\). What is the density of equilibrium mixture of \(\mathrm{N}_2 \mathrm{O}_4\) and \(\mathrm{NO}_2\) at \(27^{\circ} \mathrm{C}\) and 1 atm ?
\(\mathrm{COCl}_2\) gas dissociates according to the equation, \(\mathrm{COCl}_2(g) \rightleftharpoons \mathrm{CO}(g)+\mathrm{Cl}_2(g)\). When heated to 700 K the density of the gas mixture at 1.16 atm and at equilibrium is \(1.16 \mathrm{~g} /\) litre. The degree of dissociation of \(\mathrm{COCl}_2\) at 700 K is :
The degree of dissociation of \(\mathrm{I}_2\) molecule of \(1000^{\circ} \mathrm{C}\) and under atmospheric pressure is \(40 \%\) by volume. If the dissociation is reduced to \(20 \%\) at the same temp. total equilibrium pressure on the gas is :
Determine the value of equilibrium constant \(\left(K_c\right)\) for the reaction
\(
A_2(g)+B_2(g) \rightleftharpoons 2 A B(g)
\)
If 10 moles of \(A_2 ; 15\) moles of \(B_2\) and 5 moles of \(A B\) are placed in a 2 litre vessel and allowed to come to equilibrium. The final concentration of \(A B\) is 7.5 M :
At \(87^{\circ} \mathrm{C}\), the following equilibrium is established
\(
\mathrm{H}_2(\mathrm{~g})+\mathrm{S}(s) \rightleftharpoons \mathrm{H}_2 \mathrm{~S}(g) ; \quad K_p=7 \times 10^{-2}
\)
If 0.50 mole of hydrogen and 1.0 mole of sulphur are heated to \(87^{\circ} \mathrm{C}\) in 1.0 L vessel, what will be the partial pressure of \(\mathrm{H}_2 \mathrm{~S}\) at equilibrium ?
Pure \(\mathrm{PCl}_5\) is introduced into an evacuated chamber and comes to equilibrium at \(247^{\circ} \mathrm{C}\) and 2.0 atm. The equilibrium gaseous mixture contains \(40 \%\) chlorine by volume.
Calculate \(K_p\) at \(247^{\circ} \mathrm{C}\) for the reaction
\(
\mathrm{PCl}_5(g) \rightleftharpoons \mathrm{PCl}_3(g)+\mathrm{Cl}_2(g)
\)
For the reaction
\(
\mathrm{SnO}_2(s)+2 \mathrm{H}_2(g) \rightleftharpoons 2 \mathrm{H}_2 \mathrm{O}(g)+\mathrm{Sn}(l)
\)
calculate \(K_p\) at 900 K , where the equilibrium steam-hydrogen mixture was \(45 \% \mathrm{H}_2\) by volume :
For the reaction \(\mathrm{XCO}_3(s) \rightleftharpoons \mathrm{XO}(s)+\mathrm{CO}_2(g), K_p=1.642\) atm at \(727^{\circ} \mathrm{C}\). If 4 moles of \(X \mathrm{CO}_3(s)\) was put into a 50 litre container and heated to \(727^{\circ} \mathrm{C}\).
What mole percent of the \(\mathrm{XCO}_3\) remains unreacted at equilibrium?
\(\mathrm{Fe}_2 \mathrm{O}_3(s)\) may be converted to Fe by the reaction
\(
\mathrm{Fe}_2 \mathrm{O}_3(s)+3 \mathrm{H}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{Fe}(s)+3 \mathrm{H}_2 \mathrm{O}(\mathrm{~g})
\)
for which \(K_c=8\) at temp. \(720^{\circ} \mathrm{C}\).
What percentage of the \(\mathrm{H}_2\) remains unreacted after the reaction has come to equilibrium?
\(A B_3(g)\) is dissociates as \(A B_3(g) \rightleftharpoons A B_2(g)+\frac{1}{2} B_2(g)\).
When the initial pressure of \(A B_2\) is 800 torr and the total pressure developed at equilibrium is 900 torr. What fraction of \(A B_3(g)\) is dissociated?
At 1000 K , a sample of pure \(\mathrm{NO}_2\) gas decomposes as :
\(
2 \mathrm{NO}_2(g) \rightleftharpoons 2 \mathrm{NO}(g)+\mathrm{O}_2(g)
[latex]
The equilibrium constant [latex]K_p\) is 156.25 atm . Analysis shows that the partial pressure of \(\mathrm{O}_2\) is 0.25 atm at equilibrium. The partial pressure of \(\mathrm{NO}_2\) at equilibrium is :
Pure nitrosyl chloride \((\mathrm{NOCl})\) gas was heated to \(240^{\circ} \mathrm{C}\) in a 1.0 L container. At equilibrium the total pressure was 1.0 atm and the NOCl pressure was 0.64 atm . What would be the value of \(K_p\) ?
At a certain temperature the equilibrium constant \(K_c\) is 0.25 for the reaction
\(
A_2(g)+B_2(g) \rightleftharpoons C_2(g)+D_2(g)
\)
If we take 1 mole of each of the four gases in a 10 litre container, what would be equilibrium concentration of \(A_2(g)\) ?
Consider the following reactions. In which cases is product formation favoured by decrease temperature?
(1) \(\mathrm{N}_2(g)+\mathrm{O}_2(g) \rightleftharpoons 2 \mathrm{NO}(g) ; \quad \Delta H^{\circ}=181 \mathrm{~kJ}\)
(2) \(2 \mathrm{CO}_2(g) \rightleftharpoons 2 \mathrm{CO}(g)+\mathrm{O}_2(g) ; \quad \Delta H^{\circ}=566 \mathrm{~kJ}\)
(3) \(\mathrm{H}_2(g)+\mathrm{I}_2(g) \rightleftharpoons 2 \mathrm{HI}(g) ; \quad \Delta H^{\circ}=-9.4 \mathrm{~kJ}\)
(4) \(\mathrm{H}_2(g)+\mathrm{F}_2(g) \rightleftharpoons 2 \mathrm{HF}(g) ; \quad \Delta H^{\circ}=-541 \mathrm{~kJ}\)
If the pressure in a reaction vessel for the following reaction is increased by decreasing the volume, what will happen to the concentrations of CO and \(\mathrm{CO}_2\) ?
\(
\mathrm{H}_2 \mathrm{O}(g)+\mathrm{CO}(g) \rightleftharpoons \mathrm{H}_2(g)+\mathrm{CO}_2(g)+\text { Heat }
\)
Consider the following reaction and determine which of the conditions will shift the equilibrium position to the right?
\(4 \mathrm{NH}_3(g)+5 \mathrm{O}_2(g) \rightleftharpoons 4 \mathrm{NO}(g)+6 \mathrm{H}_2 \mathrm{O}(g)+\text { Heat }
\)
The conversion of ozone into oxygen is exothermic. Under what conditions is ozone the most stable?
\(
2 \mathrm{O}_3(\mathrm{~g}) \rightleftharpoons 3 \mathrm{O}_2(\mathrm{~g})
\)
For an equilibrium \(\mathrm{H}_2 \mathrm{O}(s) \rightleftharpoons \mathrm{H}_2 \mathrm{O}(l)\), which of the following
A pressure cooker reduces cooking time for food because:
The vapour pressure of a liquid in a closed container depends on :
(1) temperature of liquid
(2) quantity of liquid
(3) surface area of the liquid
The pressure on a sample of water at its triple point is reduced while the temperature is held constant. Which phases changes are favoured?
(I) melting of ice
(II) sublimation of ice
(III) vaporization of liquid water
Solid \(\mathrm{Ca}\left(\mathrm{HCO}_3\right)_2\) decomposes as
\(
\mathrm{Ca}\left(\mathrm{HCO}_3\right)_2(s) \rightleftharpoons \mathrm{CaCO}_3(s)+\mathrm{CO}_2(g)+\mathrm{H}_2 \mathrm{O}(g)
\)
If the total pressure is 0.2 bar at 420 K , what is the standard free energy change for the given reaction ( \(\Delta_r G^{\circ}\) )?
The standard free energy change of a reaction is \(\Delta G^{\circ}=-115 \mathrm{~kJ}\) at 298 K . Calculate the value of \(\log _{10} K_p\left(R=8.314 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)\)
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