The rate law for the reaction $\text{Sucrose} + \text{Water} \xrightarrow{H^+} \text{Glucose} + \text{Fructose}$ is given by:

  • A
    $\text{Rate} = K [\text{sucrose}] [\text{water}]$
  • B
    $\text{Rate} = K [\text{sucrose}] [\text{water}]^0$
  • C
    $\text{Rate} = K [\text{sucrose}]^0 [\text{water}]$
  • D
    $\text{Rate} = K [\text{sucrose}]^{1/2} [\text{water}]^{1/2}$

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For the first order decomposition reaction of $N_2O_5$,it is found that -
$(a)$ $2N_2O_5 \rightarrow 4NO_{2(g)} + O_{2(g)}$ ; $-\frac{d[N_2O_5]}{dt} = k[N_2O_5]$
$(b)$ $N_2O_5 \rightarrow 2NO_{2(g)} + 1/2 O_{2(g)}$ ; $-\frac{d[N_2O_5]}{dt} = k'[N_2O_5]$
Which of the following is true?

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