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Q.

For a reaction between A and B, the initial rate of reaction is measured for various initial concentrations of A and B. The data provided areThe correct statements are

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a

Order with respect to A is 1

b

Order with respect to B is zero

c

Order with respect to A is zero

d

Over all order is 1

answer is A.

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Detailed Solution

If the order of reaction w.r.t. A is n and the order of reaction w.r.t. B is m, rate law becomes      Rate =k[A]n[B]m From ( i )     5×10−5=[0.20]n[0.30]m                                   ………………( i ) From (ii)       5×10−5=[0.20]n[0.10]m                                      ……………….(ii) From (iii)     1×10−4=[0.40]n[0.05]m                                  ……………..( iii )or    10×10−5=[0.40]n[0.05]mFrom equations (i) and (ii),5×10−55×10−5−0.200.20n0.300.10m1=(3)m⇒(3)0=(3)m⇒m=0From equations (ii) and (iii),5×10−510×10−5=0.200.40n0.100.05m12=12n×0.100.050⇒12=12n⇒121=12n⇒n=1sOverall order of the reaction   =n+m=1+0=1
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