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Chemical Kineti...

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  • Question 1
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    The decomposition of a compound $$P$$, at temperature $$T$$ according to the equation $$\displaystyle2P_{(g)}\rightarrow4Q_{(g)}+R_{(g)}+S_{(l)}$$ is the first order reaction. After $$30$$ minutes from the start of decomposition in a closed vessel, the total pressure developed is found to be $$317$$ mm $$Hg$$ and after a long period of time the total pressure observed to be $$617$$ mm $$Hg$$. 
    The total pressure of the vessel after $$75$$ minute, if the volume of liquid $$S$$ is supposed to be negligible is:
    (Given : Vapour pressure of $$S (l)$$ at temperature $$T=32.5 $$mm $$Hg$$)

  • Question 2
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    The decomposition of $$ {\mathrm{N}_{2}}\mathrm{O}_{5} $$ according to the equation $${\mathrm{2N}_{2}}\mathrm{O}_{5}(g)\rightarrow \mathrm{4 NO}_{2}+O_{2}(g) $$ is a first-order reaction. After 30 min from the start of decomposition in a closed vessel the total pressure developed is found to be 284.5 mm Hg. On complete decomposition, the total pressure is 584.5 mm Hg. The rate constant of the reaction is :

  • Question 3
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    The reaction is given below, the rate constant for disappearance of A is $$7.48\times10^{-3}sec^{-1}$$. The time required for the total pressure in a system containing A at an initial pressure of 0.1 atm to rise to 0.145 atm is:
    $$2A(g)\rightarrow 4B(g)+C(g)$$

  • Question 4
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    The reaction $$A(aq) \rightarrow B(aq)+C(aq)$$ is monitored by measuring optical rotation of reaction mixture at different time interval. The species A, B and C are optically active with specific rotations $$20^{\circ}, 30^{\circ}$$ and $$-40^{\circ} $$ respectively. Starting with pure A if the value of optical rotation was found to be $$2.5^{\circ}$$ after $$6.93^{\circ}$$ minutes and optical rotation was $$-5^{\circ}$$ after infinite time. Find the rate constant for the first-order conversion into A into B and C:

  • Question 5
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    $$A(aq)\longrightarrow B(aq)+C(aq)$$ is a first order reaction.

    Time
    $$t$$
    $$\infty$$
    moles of reagent
    $${ n }_{ 1 }$$
    $${ n }_{ 2 }$$
    Reaction progress is measure with help of titration '$$R$$'. If all $$A,B$$ and $$C$$ reacted with reagent and have '$$n$$' factors [$$n$$ factor; $$eq.wt=\cfrac {mol.wt.}{n}$$] in the ratio of $$1:2:3$$ with the reagent. The $$k$$ in terms of $$t,{ n }_{ 1 }$$ and $${ n }_{ 2 }$$ is :

  • Question 6
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    Two first order reaction have half-lives in the ratio $$8:1$$. Calculate the ratio of time intervals $${ t }_{ 1 }$$ and $${ t }_{ 2 }$$ are the time period for the $${ \left( \cfrac { 1 }{ 4 }  \right)  }^{ th }$$ and $${ \left( \cfrac { 3 }{ 4 }  \right)  }^{ th }$$ completion.

  • Question 7
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    $$\displaystyle \:A+B\rightleftharpoons AB+I\xrightarrow{k_{2}}P+A$$
    If $$k_1$$ is the rate constant of the reversible step and If $$k_1$$is much smaller than $$k_{2}$$, The most suitable qualitative plot of potential energy (P.E.) versus reaction coordinate for the above reaction.

  • Question 8
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    Assertion: In a reversible endothermic reaction, $$E_{act}$$ of forward reaction is higher than that of backward reaction.

    Reason: The threshold energy of forward reaction is more than that of backward reaction.

  • Question 9
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    The gaseous decomposition reaction, $$A(g)\longrightarrow 2B(g)+C(g)$$ is observed to first order the excess of liquid water at $${ 25 }^{ o }C$$. It is found that after $$10$$ minutes the total pressure of system is $$188$$ torr and after very long time it is $$388$$ torr. The rate constant of the reaction (in $$hr^{ -1 }$$) is:
    [Given: vapour pressure of $${ H }_{ 2 }O$$ at $${ 25 }^{ o }C$$ is $$28$$ torr. ($$\ln { 2 } =0.7,\ln { 3 } =1.1,\ln { 10 } =2.3$$)]

  • Question 10
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    For a first-order homogeneous gaseous reaction, $$A\longrightarrow 2B+C$$.
    If the total pressure after time $$t$$ was $${ P }_{ t }$$ and after long time $$(t\rightarrow \infty )$$ was $${ P }_{ \infty }$$ then $$k$$ in terms of $${ P }_{ t },{ P }_{ \infty }$$ and $$t$$ is :

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