Following is the rate expression.

Rate = k[A]^1/2[B]^3/2
How much rate will be increased if concentration of [A] quadrupled.

Dear Student


Rate = k [A]1/2 [B]3/2

Concentration of A is quadrupled, then the new concentration of A1 =  4 [A]

Rate will increase by ???

Thus, the new rate will be, R' = k [(4 x [A]1/2) [B]3/2]

                                               = [4]1/2 [1]3/2 x [‚Äčk [A]1/2 [B]3/2] = 42 x(12)3 x R [Because R = k [A]1/2 [B]3/2]

Also,  [4]1/242 (because, x1/n = nth root of x]
And, [1]3/2 = (12)3 (because, xm/n = (xn)m

So, R' = 2 x 1 x R = 2R
 
Therefore, Rate will increase by a factor of 2.


Regards

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