For the reaction 2A + B → A2B, rate = k [A] [B]2 with k = 20 x 10-6 mol-2 L2 s-1. Calculate the initial rate of the reaction when [A] = 0.1 mol L-1 and [B] = 0.2 mol L-1 Calculate the rate of reaction after [A] is reduced to 0.06 mol L-1.
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Answer:
Explanation:
Given
the rate of the reaction is
rate = k [A][B]² .........{1}
and k = 20×10^-6 mole^-2L^2s^-1
[A] = 0.1 mol L^-1 and
[B] = 0.2 mol L^-1
putting all the values in eq {1}
rate = 20×10^-6 mol^-2L^2s^-1 ×0.1 mol L^-1×[0.2 mol L^-1]²
= 20×10^-6 mol^-2L^2s^-1 ×0.1 mol L^-1× 0.04 mol^2 L^-2
= 0.8 mol L^-1 s^-1
Again
The rate of the reaction after [A] is reduced to 0.06 mol L^-1 is--
rate = 20×10^-6 mol^-2L^2s^-1 ×0.06 molL^-1×[0.2 mol L^-1]²
= 20×10^-6 mol^-2L^2s^-1 ×0.06 molL^-1× 0.04 mol^2 L^-2
=0.048 mol L^-1 s^-1
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