Use the Data Given Below to Construct a Born-Haber Cycle

question 79

Multiple Choice

Use the data given below to construct a Born-Haber cycle to determine the bond energy of O₂.
$$\begin{array} { l r } & \Delta H ^ { \circ } \left( \mathrm { kJ } \mathrm { mol } ^ { - 1 } \right) \\\mathrm { Na } ( s ) \rightarrow \mathrm { Na } ( g ) & 107 \\\mathrm { Na } ( g ) \rightarrow \mathrm { Na } ^ { + } ( g ) + \mathrm { e } ^ { - } & 496 \\\mathrm { O } ( g ) + \mathrm { e } ^ { - } \rightarrow \mathrm { O } ^ { - } ( g ) & - 141 \\\mathrm { O } ^ { - } ( g ) + \mathrm { e } ^ { - } \rightarrow \mathrm { O } ^ { 2 - } ( g ) & 878 \\2 \mathrm { Na } ( s ) + \frac { 1 } { 2 } \mathrm { O } 2 ( g ) \rightarrow \mathrm { Na } 2 \mathrm { O } ( s ) & - 416 \\2 \mathrm { Na } ^ { + } ( g ) + \mathrm { O } ^ { 2 - } ( g ) \rightarrow \mathrm { Na } 2 \mathrm { O } ( s ) & - 2608\end{array}$$

• A)426 kJ mol^-1
• B)249 kJ mol^-1
• C)852 kJ mol^-1
• D)498 kJ mol^-1
• E)356 kJ mol^-1

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Definitions:

Z-Score

A measure that indicates the number of standard deviations a data point is from the mean.

Standard Deviation

A measure of the amount of variation or dispersion in a set of data values, indicating how spread out the data points are from the mean.

Free Throw

An unopposed attempt to score in basketball, granted after a foul, from a designated line approximately 15 feet from the basket.

Mean

The average of a set of numbers, calculated by dividing the sum of all values by the number of values.