The gas-phase reaction follows the rate law

CHEMISTRY · Single correct · A Level · Chemistry · Rate equations · Rate equations

Problem

The gas-phase reaction A+2 B→productsA + 2\,B \to \text{products} follows the rate law rate=k[A][B]2\text{rate} = k[A][B]^2. Currently, [A]0=0.20 M[A]_0 = 0.20\,\text{M} and [B]0=0.10 M[B]_0 = 0.10\,\text{M}. The laboratory has only enough reagent to allow [B][B] to reach at most 0.30 M0.30\,\text{M}. Which set of new concentrations will quadruple the initial rate without exceeding the limit on [B][B]? (a) [A]=0.40 M,  [B]=0.20 M[A]=0.40\,\text{M},\;[B]=0.20\,\text{M} (b) [A]=0.40 M,  [B]=0.10 M[A]=0.40\,\text{M},\;[B]=0.10\,\text{M} (c) [A]=0.20 M,  [B]=0.20 M[A]=0.20\,\text{M},\;[B]=0.20\,\text{M} (d) [A]=0.20 M,  [B]=0.30 M[A]=0.20\,\text{M},\;[B]=0.30\,\text{M}

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