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Question

Consider a reaction aG+bH Products. When the concentration of both the reactants G and H are doubled, the rate increases by eight times. However, when the concentration of G is doubled keeping the concentration of H fixed, the rate is doubled. The overall order of reaction is:

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is C 3
ϑ0=k[6]a[H]b
ϑ1=k[6]a[H]b2a+b
ϑ2=k[6]a[H]b2a
{ϑ1ϑ0=2a+b=8(1)ϑ2ϑ0=2a=2(2)}
solving (1) and (2) is a system of linear equations: a=1, b=2
net order =2+1=3.

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