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Chemical Kinetics Test - 47

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Chemical Kinetics Test - 47
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  • Question 1
    1 / -0
    The reaction $${ N }_{ 2 }{ O }_{ 5 }\quad \left( In\quad { CCl }_{ 4 } \right) \rightarrow 2{ NO }_{ 2 }+{ 1 }/{ 2 }\quad { O }_{ 2 }\left( g \right) $$ is first order in $${ N }_{ 2 }{ O }_{ 5 }$$ with rate constant $$6.2\times { 10 }^{ -4 }{ S }^{ -1 }$$. What is the value of rate of reaction when $$\left[ { N }_{ 2 }{ O }_{ 5 } \right] =1.25\quad mole\quad { L }^{ -1 }$$
    Solution
    Its a 1st Order Reaction.

    $$r = k[A]$$

    $$r = 6.2 \times {10}^{-4} \times [1.25]$$

    $$r = 7.75 \times {10}^{-4}\space {L}^{-1}{S}^{-1}$$
  • Question 2
    1 / -0
    A certain zero order reaction has $$k = 0.025 M s^{-1}$$ for the disappearance of A. What will be the concentration of A after 15 seconds if the initial concentration is 0.50 M ? 
    Solution
    Its a Zero Order Reaction

    $$k = \dfrac{1}{t}{[{A}_{0} - A]}$$

    $$0.025 = \dfrac{1}{15}{[{0.5 - A}]}$$

    $${A} = 0.125 M$$
  • Question 3
    1 / -0
    The rate constant for a recation is $$10.8 \times 10^{-5} mol L^{-1}S^{-1}$$. The reaction obeys:
    Solution
    We can tell order of reaction by its rate constant $$(K)$$ units

     Reaction Order Units
     Zero 0 mol $$L^{-1} S^{-1}$$
     First 1 $$S^{-1}$$
     Second 2 mol$$^{-1}LS^{-1}$$
    Here, units are mol $$L^{-1}S^{-1}$$, so zero order.
  • Question 4
    1 / -0
    The reaction $$ A(s) \rightarrow 2 B(g)+C(g) $$is the first order. The pressure after 20 min. and after very long time are 150 mm Hg and 225 mm Hg. The value of rate constant and pressure after 40 min. are:
    Solution

  • Question 5
    1 / -0
    $$t_{1/2} v/s \dfrac{1}{a^2}$$ is straight line graph then determine the order of a reaction:
    Solution
    In general for an $$n^{th}$$ order of a reaction, the half life period is given by,
    $$t_{1/2} \propto \cfrac {1}{a^{n-1}}$$,     $$a$$= initial concentration; $$n$$= order of reaction
    Given, $$t_{1/2}$$ $$ v/s$$ $$ 1/a^{2}$$  i.e, $$n-1=2,n=3$$
    $$\therefore t_{1/2}$$= (constant)$$\cfrac {1}{a^2}$$ is a straight line.
    for $$n=3$$ i.e, for Third order reaction.
  • Question 6
    1 / -0
    For a first order reaction rate constant is given as $$\log K = 14 - \dfrac{1.2 \times 10^4}{T}$$ then what will be value of temperature if its half life period is $$6.93 \times 10^{-3}\ min$$?
    Solution
    $$k = \dfrac{0.693}{{t}_{1/2}}$$
    $$k = 100\space {min}^{-1}$$
    Substituting it, we get
    $$2 = 14 - \dfrac{1.2 \times {10}^{4}}{T}$$
    $$t = 1000K$$
  • Question 7
    1 / -0
    In a first order reaction, the concentration of the reactant decreases from 0.8M to 0.4M in 15 min. The time taken for the concentration to change from 0.1 M to 0.025 M is:
    Solution
    $$k = \dfrac{2.303}{t} log \dfrac{[A]}{[A - x]}$$
    $$k = \dfrac{2.303}{15} log \dfrac{0.8}{0.4}$$
    $$k = 0.046\space {min}^{-1}$$
    The time required
    $$0.046 = \dfrac{2.303}{t} log \dfrac{0.1}{0.025}$$
    $$t = 30\space min$$
  • Question 8
    1 / -0
    K for a zero order reaction is $$2\times { 10 }^{ -2 }\quad { L }^{ -1 }{ Sec }^{ -1 }$$. If the concentration of the reactant after 25 sec is 0.5 M, the initial concentration must have been.
    Solution
    It is a Zero Order Reaction

    $$k = \dfrac{[{A}_{0}] -[A]}{t}$$

    $$2 \times {10}^{-2} = \dfrac{[{A}_{0}] - [0.5]}{25}$$

    $$[{A}_{0}] = 1\space M$$

    Hence, the correct option is $$D$$
  • Question 9
    1 / -0
    For a first - order reaction, the concentration of reactant:
    Solution

  • Question 10
    1 / -0
    Acid hydrolysis of ester in first order reaction and rate constant is given by $$k=\dfrac { 2.303 }{ t } log\dfrac { { V }_{ \infty  }-{ V }_{ 0 } }{ { V }_{ \infty  }-{ V }_{ t } } $$ where $${ V }_{ 0 }$$,$${ V }_{ t }$$ and $$V_{ \infty  }$$ are the volume of standard $$NaOH$$ required to neutralise acid present at a given time, if ester is $$50%$$ neutralised then:
    Solution
    $$\;\;\;\;\;RCOOR'+H_2O\; \;\;\xrightarrow { H^{ + } }  \;\;\;RCOOH+R'OH$$
    $$t=0$$     $$a$$                                         $$0$$                 $$0$$
    $$t$$         $$a-x$$                                     $$x$$                 $$x$$
    $$t=\infty$$ $$a-a$$                                   $$a$$                 $$a$$
    Let $$V_0=$$ Volume of $$NaOH$$
    $$\left( \;at\;\;t=o\right),$$
    $$V_t=x+V_0$$
    $$V_{\infty}=a+V_0$$
    If ester is $$50\%$$ hydrolyzed, $$x=\dfrac{a}{2}$$
    $$\therefore V_t=\dfrac{a}{2}+V_0$$
        $$a=2V_t-2V_0$$
    $$\therefore V_{\infty} =2V_t-2V_0+V_0$$
               $$=2V_t-V_0$$
    Hence, the answer is $$2V_t-V_0.$$
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