Q. The nuclear fusion reaction is given $\ _{1}H^{2}\ + \ \ _{1}H^{2}\ \rightarrow \ _{0}He^{3}\ + \ \ _{0}n^{1}\ + Q\ $(energy). If 2 mole of deuterium are fused the total released energy is

A) $2Q$
B) $4Q$
C) $Q \times 6.02\ \times \ 10^{23}$
D) $Q \times 2\ \ \times 6\ \times \ 10^{23}$
Explanation

(c) $\ _{1}H^{2}\ + \ \ _{1}H^{2}\ \rightarrow \ _{2}He^{3}\ + \ \ _{0}n^{1}\ + Q(energy)$
$\because$ 2 molecules of deuterium are fused, then released energy = Q
Hence, energy released per molecule = $\frac{Q}{2}$
Now, we know that number of molecules in one mole
$\ = 6.02\ \times \ 10^{23}$
Hence number of molecules in two moles = $2\ \times \ 6.02\ \times \ 10^{23}$
Hence, energy released when two mole of deuterium are fused $\ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{Q}{2} \times 2 \times 6.02 \times 10^{23} = Q \times 6.02 \times 10^{23}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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