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Question

Zn+2H+Zn2++H2
Half-life period is independent of the concentration of zinc at constant pH. For the constant concentration of Zn, the rate becomes 100 times when pH is decreased from 3 to 2. Hence:

A
dxdt=k[Zn]0[H+]2
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B
(dxdt)=k[Zn][H+]2
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C
Rate is not affected if concentration of zinc is made four times and that of H+ ion is halved.
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D
Rate becomes four times if concentration of H+ ion is doubled at constant Zn concentration.
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Solution

The correct options are
B (dxdt)=k[Zn][H+]2
C Rate is not affected if concentration of zinc is made four times and that of H+ ion is halved.
D Rate becomes four times if concentration of H+ ion is doubled at constant Zn concentration.
For first order reaction, half-life is independent of initial concentration.
dxdt=k[H+]a[Zn]=k[Zn]
k=k[H+]a
100=102a103a
α=2

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