For a reaction $A \to 2 B$ , the incorrect statement as time proceeds

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[A] decreases, but [B] increases

Rate of disappearance of A decreases, but that of rate of appearance of B increases

Rate of disappearance of A increases, but that of rate of appearance of B decreases

Rate with respect to A and B does not remain same

answer is C.

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Detailed Solution

Hints to represent the rate of reaction

(i) coefficients of reactants and products must be written as reciprocals

(ii) Since concentration of reactants decreases with time negative sign must be used to represent rate of reactants

Note: Rate of a reaction can never be negative

(iii) Since concentration of products increases with time positive sign must be used to represent rate of products

(iv)

For the reaction, R → P

Then for the reaction,

Rate w.r.t reactants is always equal to rate w.r.t. products.

Rate of disappearance and appearance vary with the number moles of reactants and products involved in the reaction.

Conclusion

Option-1	[A] decreases, [B] increases as time proceeds
Option-2	[A] decreases, rate of disappearance of 'A'decreases [B] increases, rate of appearance of 'B' increases
Option-3	Rate of disappearance of 'A' increases. Rate of appearance of 'B' decreases .... false
Option-4	Rate w.r.t A is equal to rate w.r.t B ..... false