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Question

For a reaction represented by AB, which of the following options give the value of order of the reaction.
ROR= Rate of reaction
C= Concentration of reactant A
C0= Concentration of reactant A at t=0
P= Concentration of product B
t12= Half life of A

A
log(ROR)2log(ROR)1logC2logC1
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B
1+[logt1/2logt1/2logC0logC0]
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C
Slope of lnROR vs lnC graph
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D
"y intercept" of lnROR vs lnC graph
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Solution

The correct option is C Slope of lnROR vs lnC graph
a)
ROR=KCn
(ROR)2(ROR)1=(C2C1)n
n=ln(ROR)2ln(ROR)1lnC2lnC1

b)
We know,
t1/21Cn10
(t1/2)(t1/2)=(C0)n1(C0)n1
log(t1/2)log(t1/2)=(n1)[logC0logC0]
n=log(t1/2)log(t1/2)logC0logC0+1

c)
ROR=KCn
ln(ROR)=lnK+nlnC
Slope of ln(ROR) v/s ln(C)=n

d)
ROR=KCn
ln(ROR)=lnK+nlnC
y intercept of ln(ROR) v/s ln(C)
graph is lnK

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