Q 1 :    

If the rate constant of a reaction is 0.03 s-1, how much time does it take for 7.2 mol L-1 concentration of the reactant to get reduced to 0.9 mol L-1?

(Given: log 2 = 0.301)                         [2025]

  • 210 s

     

  • 21.0 s

     

  • 69.3 s

     

  • 23.1 s

     

(3)

Rate constant, k=0.03 s-1

For 1st order reaction,  k=2.303tlogaa-x

So, t=2.3030.03log7.20.9 =2.3030.03log8 =2.3030.03×3log2

        =2.3030.03×3×0.301                  [Given, log2=0.301]

       =69.32 s



Q 2 :    

If the half-life (t1/2) for a first order reaction is 1 minute, then the time required for 99.9% completion of the reaction is closest to              [2025]

  • 5 minutes

     

  • 10 minutes

     

  • 2 minutes

     

  • 4 minutes

     

(2)

For a first order reaction,  

t1/2=0.693k

or, 
k=0.693t1/2=0.6931=0.693 min-1                (t1/2=1minute)

For 99.9% completion of reaction,  k=2.303tlogaa-x

or,     t=2.303klogaa-x =2.3030.693log100100-99.9

or,     t=2.3030.693×3=9.97 min10 min



Q 3 :    

For a first order reaction A  Products, initial concentration of A is 0.1 M, which becomes 0.001 M after 5 minutes. Rate constant for the reaction in min-1 is          [2022]

  • 1.3818

     

  • 0.9212

     

  • 0.4606

     

  • 0.2303

     

(2)

For a first order reaction  

k=2.303tlogaa-x

k=2.3035log0.10.001

k=2.3035log102 =2.303×25 =0.9212 min-1



Q 4 :    

The given graph is a representation of kinetics of a reaction.

[IMAGE 1]

The y and x axes for zero and first order reactions, respectively, are                [2022]

  • zero order (y = concentration and x = time), first order (y = t1/2 and x = concentration)

     

  • zero order (y = concentration and x = time), first order (y = rate constant and x = concentration)

     

  • zero order (y = rate and x = concentration), first order (y = t1/2 and x = concentration)

     

  • zero order (y = rate and x = concentration), first order (y = rate and x = t1/2)

     

(3)

[IMAGE 2]

 



Q 5 :    

The rate constant for a first order reaction is 4.606×10-3 s-1. The time required to reduce 2.0 g of the reactant to 0.2 g is              [2020]

  • 100 s

     

  • 200 s

     

  • 500 s

     

  • 1000 s

     

     

(3)

For a first order reaction,  

k=2.303tlog[R]0[R]

t=2.3034.606×10-3s-1log(20.2)=2.303×1034.606=500 s



Q 6 :    

If the rate constant for a first order reaction is k, the time (t) required for the completion of 99% of the reaction is given by              [2019]

  • t=2.303/k

     

  • t=0.693/k

     

  • t=6.909/k

     

  • t=4.606/k 

     

(4)

For 1st order reaction,  

t=2.303klogaa-x=2.303klog100100-99

=2.303klog102=2.303k×2×log10=4.606k



Q 7 :    

A first order reaction has a rate constant of 2.303×10-3 s-1. The time required for 40 g of this reactant to reduce to 10 g will be

[Given that log10 2 = 0.3010]                           [2019]

  • 230.3 s

     

  • 301 s

     

  • 2000 s

     

  • 602 s

     

(4)

For a first order reaction, k=2.303tlog[A]0[A]t

2.303×10-3=2.303tlog4010

t=110-3log22=210-3log2=210-3×0.3010=602 s



Q 8 :    

The correct difference between first and second order reactions is that                [2018]

  • the rate of a first-order reaction does not depend on reactant concentrations; the rate of a second-order reaction does depend on reactant concentrations

     

  • the half-life of a first-order reaction does not depend on [A]0; the half-life of a second-order reaction does depend on [A]0

     

  • a first-order reaction can be catalysed; a second-order reaction cannot be catalysed

     

  • the rate of a first-order reaction does depend on reactant concentrations; the rate of a second-order reaction does not depend on reactant concentrations.

     

(2)

For the first order reaction, t1/2=0.693k which is independent of initial concentration [A]0.

For second order reaction, t1/2=1k[A]0

Half-life depends on initial concentration of reactant.



Q 9 :    

When initial concentration of the reactant is doubled, the half-life period of a zero order reaction            [2018]

  • is halved

     

  • is doubled

     

  • is tripled

     

  • remains unchanged

     

(2)

(t1/2)zero=[A]02k

As the half-life of a zero order reaction is directly proportional to initial concentration.  

  If [A]0 = doubled then, t1/2 = doubled.



Q 10 :    

A first order reaction has a specific reaction rate of 10-2 sec-1. How much time will it take for 20 g of the reactant to reduce to 5 g?           [2017]

  • 138.6 sec

     

  • 346.5 sec

     

  • 693.0 sec

     

  • 238.6 sec

     

(1)

For a first order reaction,

k=2.303tlog[A]0[A]t  or  10-2=2.303tlog205

10-2=2.303×0.6020t  or  t=138.6 sec