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The reaction, A + B to products is first...

The reaction, `A + B to` products is first order with respect to A and second order with respect to B. When 1.0 mole each of A and B were taken in one litre flask, the initial rate of the reaction is `1.0 xx 10^(-2) "mol L"^(-1) "s"^(-1)`. The rate of the reaction when 50% of the reactants have been converted into products is

A

`1.00 xx 10^(-3) "mol L"^(-1) "s"^(-1)`

B

`0.05 xx 10^(-2) "mol L"^(-1) "s"^(-1)`

C

`1.25 xx 10^(-3) "mol L"^(-1) "s"^(-1)`

D

`4.0 0xx 10^(-2) "mol L"^(-1) "s"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`" "A+B to "Product(C)"`

`{:("Initially no. of moles",1,1," "0),("at time t",1/2,1/2," "1):}`
`therefore` Rate of reaction, `r = k [A][B]^2`
`= 1 xx 10^(-2) ((1)/(2)) ((1)/(2))^2`
`= 1.25 xx 10^(-3) "mol L"^(-1) "s"^(-1)`
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