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The rate of a gaseous reaction is given by the expression k[A][B]. If the volume of the reaction vessel is suddenly reduced to 1/4 th of the initial volume, the reaction rate relating to original rate will be:

a. 1/10

b. 1/8

c. 8

d. 16

[B] = conc. of B

conc. = no of moles / volume

therefore we decrease the volume of vessel to1/4 th intial volume .the conc of A and B both will increase by 4 times { conc is inversely propotional to volume } .

so final conc of A will become = 4[A]

final conc of B will become = 4[B]

final rate of rxn = k{4[A]*4[B] }

= 16k[A][B]

= 16 {intial rate of rxn}

so te correct option is

__D__
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