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In a first order reaction A →B, if k israte constant and initial concentration of the reactant A is 0.5 A M then the half -life is : 

  • 0.693/0.5 k

  • log2/k

  • log space 2 space divided by space straight k square root of 0.5 end root
  • log space 2 space divided by space straight k square root of 0.5 end root


D.

log space 2 space divided by space straight k square root of 0.5 end root

For first order reaction.


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The rate constant k1 and k2 for two different reactions are 1016. e-2000/T and 1015.e-1000/T respectively. The temperature at which k1 = k2

  • 1000 K 

  • 2000/2.303 K 

  • 2000 K 

  • 2000 K 


D.

2000 K 

The Arrhenius equation is represented as;

k = Ae-Ea/RT

In the given equations first, take log and then compare them.


k1 = 1016 e-2000/T
k2 = 1015 e-1000/T

On taking log, we get
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If 60% of a first order reaction was completed in 60 min, 50% of the same reaction would be completed in approximately:

  • 50 min

  • 45 min

  • 60 min

  • 60 min


B.

45 min


The bromination of acetone cytosine and guanine solution is represented by this equation.
 CH3COCH3 (aq) + Br2 (aq) →CH3COCH2Br (aq) + H+ (aq) + Br- (aq)
These kinetic data were obtained for given reaction concentrations.

Initial Concentrations, M
[CH3COOH] [Br2] [H+]
0.30 0.05 0.05
0.30 0.10 0.05
0.30 0.10 0.10
0.40 0.05 0.20

Initial rate, disappearance of Br2, ms-1
                   5.7 x 10-5
                   5.7 x 10-5
                   1.2 x 10-4
                   3.1 x  10-4
Based on these data, the rate equation is
  • Rate = k[CH3COCH3][H+]

  • Rate = k[CH=COCH3][Br2]

  • Rate = k [CH3COCH3][Br2][H+]

  • Rate = k [CH3COCH3][Br2][H+]


A.

Rate = k[CH3COCH3][H+]

By comparing the rate and concentration, the order of the reaction can be calculated.
Let the rate of the reaction wrt [CH3COCH3], [Br2] and [H+] are x,y and z respectively. Thus, 

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The reaction of hydrogen and iodine monochloride is given as:
H2 (g) + 2ICl (g) → 2 HCl (g)  + I2 (g)
This reaction is of first order with respect to H2 (g) and ICI (g), following mechanisms were proposed:
Mechanism A:
H2 (g) + 2 ICl (g)  → 2 HCl (g) + I2 (g) 
Mechanism B:
H2 (g) + ICl (g) →HCl (g) + HI (g) ;slow
HI (g) + ICl (g)  → HCl (g) + I2 (g); fast
Which of the above mechanism (s) can be consistent with the given information about the reaction? 

  • B only

  • A and B both

  • Neither A nor B

  • Neither A nor B


B.

A and B both

The rate of reaction always depends on slow reaction.

H2 (g) + ICl (g) →HCl (g) + HI (g) is a first order reaction respect to H2 and I2 can measure with the help of both mechanism A and B.


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