Given the Initial Rate Data for the Reaction a A) $\frac { \Delta [ \mathrm { C } ] } { \Delta t } = 3.84 \mathrm { M } ^ { - 1 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] [ \mathrm { B } ]$

question 4

Multiple Choice

Given the initial rate data for the reaction A + B ? C, determine the rate expression for the reaction. $$\begin{array} { l l l } { [ \mathrm { A } ] , \mathrm { M } } & { [ \mathrm { B } ] , \mathrm { M } } & \Delta [ \mathrm { C } ] / \Delta t \text { (initial) } \mathrm { M } / \mathrm { s } \\\hline 0.0344 & 0.160 & 2.11 \times 10 ^ { - 2 } \\0.0516 & 0.160 & 3.17 \times 10 ^ { - 2 } \\0.0344 & 0.272 & 6.10 \times 10 ^ { - 2 }\end{array}$$

• A) \(\frac { \Delta [ \mathrm { C } ] } { \Delta t } = 3.84 \mathrm { M } ^ { - 1 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] [ \mathrm { B } ]\)
• B) \(\frac { \Delta [ \mathrm { C } ] } { \Delta t } = 24.0 \mathrm { M } ^ { - 2 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] [ \mathrm { B } ] ^ { 2 }\)
• C) \(\frac { \Delta [ \mathrm { C } ] } { \Delta t } = 111 \mathrm { M } ^ { - 2 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] ^ { 2 } [ \mathrm {~B} ]\)
• D) \(\frac { \Delta [ \mathrm { C } ] } { \Delta t } = 189 \mathrm { M } ^ { - 2 } \mathrm {~s} ^ { - 1 } [ \mathrm {~A} ] ^ { 2 } [ \mathrm {~B} ]\)
• E) \(\frac { \Delta [ \mathrm { C } ] } { \Delta t } = 0.285 \mathrm { M } ^ { - 1 } \mathrm {~s} ^ { - 1 } [ \mathrm {~B} ] ^ { 2 }\)

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Definitions:

Luteinizing Hormone

A hormone produced by the anterior pituitary gland, involved in regulating the reproductive system, such as triggering ovulation in females and testosterone production in males.

Homeostatic Mechanisms

Biological systems that maintain stable internal conditions (like temperature and pH) despite changes in the external environment.

Hypothalamus

A region of the brain that controls an immense number of bodily functions, including hunger, thirst, body temperature, and the release of many hormones.