The gas-phase reaction X + Y products (45 ,^ C ) was studied at constant temperature

CHEMISTRY · Multi-part · A Level · Chemistry · Rate equations · Rate equations

Problem

The gas-phase reaction

X + Y \to \text{products} \quad (45\,^{\circ}\text{C})

was studied at constant temperature. The initial concentrations of the reactants and the initial rate of appearance of products are recorded below.

Experiment	$[X]_0$ (M)	$[Y]_0$ (M)	Initial rate (M s $^{-1}$ )
1	0.10	0.15	$4.50 \times 10^{-5}$
2	0.20	0.15	$1.80 \times 10^{-4}$
3	0.10	0.45	$1.35 \times 10^{-4}$

Assume the rate law has the form

\text{rate} = k[X]^{a}[Y]^{b}

. (1) Part 1: (a) Determine the order of the reaction with respect to

X

and with respect to

Y

, justifying your answers with appropriate quantitative comparisons. (2) Part 2: (b) State the overall order of the reaction. (3) Part 3: (c) Calculate the value and units of the rate constant

k

using the data from Experiment 1. (4) Part 4: (d) Predict the initial rate when

[X]_0 = 0.050\,\text{M}

and

[Y]_0 = 0.60\,\text{M}

at the same temperature.

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