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A reaction is first order in A and second order in B. (i) Write the differential rate equation. (ii) How is the rate affected on increasing the concentration of B three times?

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A reaction is first order in A and second order in B.

(i) Write the differential rate equation.

(ii) How is the rate affected on increasing the concentration of B three times?

(iii) How is the rate affected when the concentrations of both A and B are doubled?

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(i) The differential rate equation will be

-\(\frac{d[R]}{dt}\) = k[A][B]2

(ii) If the concentration of B is increased three times, then

-\(\frac{d[R]}{dt}\) = k[A][3B]2

= 9.k[A][B]2

Therefore, the rate of reaction will increase 9 times.

(iii) When the concentrations of both A and B are doubled,

-\(\frac{d[R]}{dt}\) = k[A][B]2

= k[2A][2B]2

= 8.k[A][B]2

Therefore, the rate of reaction will increase 8 times.

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