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Equilibrium Test - 45

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Equilibrium Test - 45
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  • Question 1
    1 / -0
    The equilibrium constant in reversible reaction at a given temperature-
    Solution
    Explanation:

    Consider the reaction,
    A + B $$ \rightleftharpoons $$ C + D.
    For the above given reversible reaction, the reaction constant depends on equilibrium concentration of product and reactant as follows:
    $$ K_c $$= $$\dfrac {[C][D]}  {[A][B]} $$.
    As the above reaction shows that the rate constant of reaction depends upon the ratio equilibrium concentration of the product and reactants and not on the Initial concentration.
    The equilibrium constant is affected by a change in temperature only and not on the concentration.

    Correct Option: $$C$$.
  • Question 2
    1 / -0
    $$PCl_5$$ dissociates as $$PCl_{5}(g)\rightleftharpoons  PCl_{3} (g) + Cl_{2}(g)$$. If $$PCl_{5}$$ is 10% dissociated at 1 atm, then the percentage of dissociation at 4 atm is:
    Solution
          $$PCl_{5}(g)\rightleftharpoons  PCl_{3} (g) + Cl_{2}(g)$$
         $$P_{1} $$
    $$P_{1}(1-\alpha)  \quad \quad     P_{1}\alpha   \quad \quad \quad        P_{1}\alpha$$
    $$0.9P_{1}        \quad   \quad \quad   0.1P_{1}    \quad   \quad \quad            0.1P_{1}$$

    Now,
    $$K_{P}=\dfrac{P_{PCl_3}\times P_{Cl_2}}{P_{PCl_5}}=\displaystyle\frac{(0.1P_{1})^{2}}{0.9P_{1}}=\displaystyle\frac{P_{1}}{90}$$

    Again,
    $$1.1P_{1}=1 atm$$  -- Total pressure
    $$\Rightarrow P_{1}=\displaystyle\frac{1}{1.1}$$

    So, $$K_{P}=\displaystyle\frac{1}{99}$$


    For new condition,
          $$PCl_{5}(g)\rightleftharpoons  PCl_{3} (g) + Cl_{2}(g)$$
           $$P_{2} $$
    $$P_{2}(1-\alpha)     \quad \quad  P_{2}\alpha  \quad \quad         P_{2}\alpha$$

    $$\Rightarrow P_{2}(1+\alpha)=4$$ -- Total pressure

    $$K_{P}=\displaystyle\frac{P_{2}\alpha ^{2}}{1-\alpha} = \displaystyle\frac{1}{99}$$

    Note: $$1-\alpha^2 \approx 1$$ since $$\alpha^2<<1$$

    $$\alpha ^{2}= \displaystyle\frac{1}{396}\Rightarrow \alpha = 0.05$$
  • Question 3
    1 / -0
    A reversible chemical reaction having two reactants in equilibrium. If the concentration of the reactants are doubled, then the equilibrium constant will______.
    Solution
    When the concentrations  of the reactants are changed, the concentrations of the products also change in such a way that the overall value of the equilibrium constant remains same.
    Thus the equilibrium constant is the characteristic of a given reaction and is unaffected by the changes in the concentrations of the reactants and products.
  • Question 4
    1 / -0
    The equilibrium constant for the reaction $$H_{2}+I_{2}  \rightleftharpoons  2HI$$ is 50. If the volume of the container is reduced to half of its original value, the value of  the equilibrium constant will be:
    Solution
    At equilibrium the concentration of $$H_{2} $$  $$I_{2}$$ and HI is  ($$1-x), (1-x), (2x)$$ respectively.

    $$K_{c} = 50$$

    $$= \dfrac{\left [ HI \right ]^{2}}{\left [ H_{2} \right ]I_{2}}$$

    $$K_{c}= \dfrac{4x^{2}}{(1-x^{2})}= 50$$

    $$K_{c}$$ value does not depend on initial concentration. When volume of reaction vessel is reduced to half, concentration is doubled. $$K_{c}$$ remains same.

    It can also be seen in another way that since $$\Delta n $$ of reaction is zero there would be no impact of a change in concentration.
  • Question 5
    1 / -0
    Increase in pressure shifts the equilibrium of the reaction

    $$N_{2}(g) + 3H_{2}(g) \rightarrow 2NH_{3}(g)$$
    Solution

  • Question 6
    1 / -0
    The following reaction is at equilibrium in a given cylinder of constant volume.
                         $$N_2 (g) + 3 H_2 (g) \Leftrightarrow 2NH_3 (g)$$
    Addition of argon gas to the cylinder will
  • Question 7
    1 / -0
    When $$NaNO_3$$ is heated in a closed vessel, oxygen is liberated and $$NaNO_2$$ is left behind. At equilibrium:
    Solution
    $$NaNO_3$$ is a solid and its concentration is unity. Thus the addition of $$NaNO_3$$ does not affect the forward reaction or backward reaction.

    Thermal decomposition of $$NaNO_3$$ is an endothermic reaction. When the temperature of the reaction is increased, the heat is absorbed and the reaction proceeds in the forward direction so that the effect of increased temperature is nullified.

    During thermal decomposition of $$NaNO_3$$, reactants contain 2 moles and products contain 3 moles. Thus when pressure is increased, the reaction shifts in the backward direction so that the number of moles decreases.
  • Question 8
    1 / -0
    The following equilibrium in a closed container $$N_2O_4(g)\rightleftharpoons 2NO_2(g)$$
    At a fixed temperature, the volume of the reaction container is halved. For this change, which of the following statements holds true regarding the equilibrium constant $$(K_p)$$ and degree of dissociation?
    Solution
    When the volume of the container is halved, the pressure is doubled. Due to this the equilibrium will shift in the backward direction which will decrease the number of moles and pressure. Hence the value of the equllibrium constant $$K_p$$ and the degre of dissociation $$\alpha$$ changes.
  • Question 9
    1 / -0
    A 10L container at 300 K contains CO$$_2$$ gas at a pressure of 0.2 atm and an excess solid CaO (neglect the volume of solid CaO). The volume of a container is now decreased by moving the movable piston fitted in the container. What will be the maximum volume of a container when a pressure of CO$$_2$$ attains its maximum value? 
    Given that,  $$CaCO_3(s)  \rightleftharpoons CaO(s) + CO_2(g) ; \        K_p = 0.80\  atm$$
    Solution
    $$K_p = 0.800    atm   =P_{co_2} = $$ maximum pressure of CO$$_2$$ in the container. 

    To calculate maximum volume of container $$P_{co_2} = 0.8$$ atm and none of CO$$_2$$ should get converted into CaCO$$_3$$(s).

    So, $$PV=constant$$

    $$\therefore$$     $$V\times (0.800  atm) = (10 L)\times  (0.2 atm)$$

    $$\Rightarrow V= 2.5 L$$
  • Question 10
    1 / -0
    Which of the following statements is incorrect?
    Solution
    Iron (III) nitrate and potassium thiocyanate react to give deep red coloration.
    The reaction is:
    $$Fe^{3+}_{aq}+SCN^-\leftrightarrow [FeSCN]^{2+}_{aq}$$
    yellow                          deep red
    Now, to this solution, if oxalic acid $$(H_2C_2O_4)$$ is added, then it reacts with $$Fe^{3+}$$ ions to form the stable complex ion $$[Fe(C_2O_4)_3]^{3-}$$, thus decreasing the concentration of $$Fe^{3+}$$ ions. In accordance with the Le-Chatelier's principle, the decrease in the concentration of $$Fe^{3+}$$ ions, leads to the decrease in the concentration of $$[FeSCN]^{2+}$$ ions which is indicated by the fact that the colour of the solution becomes lighter.
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