Calculate the Energy Released (Per Mole of Deuterium Consumed) for the Following

question 71

Multiple Choice

Calculate the energy released (per mole of deuterium consumed) for the following fusion reaction, ${ } _ { 1 } ^ { 2 } \mathrm { H } + { } _ { 1 } ^ { 3 } \mathrm { H } \rightarrow { } _ { 2 } ^ { 4 } \mathrm { He } + { } _ { 0 } ^ { 1 } \mathrm { n }$ given the following molar masses of nucleons and nuclei. (c = 2.998 × 10⁸ m/s) $$\begin{array} { l l } \text { particle } & \text { mass } ( \mathrm { g } / \mathrm { mol } ) \\\hline \text { proton } & 1.007825 \\\text { neutron } & 1.008665 \\\text { deuterium } & 2.0140 \\\text { tritium } & 3.01605 \\\text { helium-4 } & 4.00260\end{array}$$

• A) 5.63 × 10⁶ J/mol
• B) 1.69 × 10¹⁵ J/mol
• C) 4.62 × 10¹³ J/mol
• D) 8.44 × 10¹¹ J/mol
• E) 1.69 × 10¹² J/mol

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Definitions:

Laccolith

A geological formation resulting from magma pushing up between layers of rock, creating a lens-shaped mass.

Columnar Joints

Natural formations of rock into long, regular columns, typically found in basalt flows, resulting from the cooling and contraction of lava.

Igneous Rock

Rock formed through the cooling and solidification of magma or lava, categorized into intrusive or extrusive depending on the environment of formation.

Sierra Nevada

A mountain range in the Western United States, known for its dramatic landscapes, including Yosemite Valley and Lake Tahoe.