Given the Initial Rate Data for the Decomposition Reaction, a

question 13

Multiple Choice

Given the initial rate data for the decomposition reaction, A ? B + C
Determine the rate expression for the reaction.
$$\begin{array} { l l } { [ \mathrm { A } ] , \mathrm { M } } & - \Delta [ \mathrm { A } ] / \Delta t \mathrm { M } / \mathrm { s } \\\hline0.084 & 12.4 \times 10 ^ { - 6 } \\0.063 & 9.3 \times 10 ^ { - 6 } \\0.042 & 6.2 \times 10 ^ { - 6 }\end{array}$$

• A) \(\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.5 \times 10 ^ { - 4 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ]\)
• B) \(\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.5 \times 10 ^ { - 4 } \mathrm { M } ^ { - 1 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] ^ { 2 }\)
• C) \(\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.8 \times 10 ^ { - 9 } \mathrm { M } ^ { - 1 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] ^ { 2 }\)
• D) \(\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 1.2 \times 10 ^ { - 5 } \mathrm { Ms } ^ { - 1 }\)
• E) \(\frac { - \Delta [ \mathrm { A } ] } { \Delta t } = 6.8 \times 10 ^ { 3 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ]\)

---

Definitions:

Precise

Referring to the closeness of two or more measurements to each other, showing little variance when repeated.

Accuracy

How closely a measurement, calculation, or specification aligns with the true value or an established standard.

Significant Figures

The number of digits in a measurement that are known with a certain degree of reliability, used to express the precision of the measurement.

Significant Figures

The digits in a number that carry meaningful contributions to its measurement accuracy.