First slide

Energy released in nuclear reactions -Q-value

Question

1 g of hydrogen is converted into 0.993 g of helium in a thermonuclear reaction. The energy released is

Moderate

A

$63 x 10^{7} J$
B

$63 x 10^{10} J$
C

$63 x 10^{14} J$
D

$63 x 10^{20} J$

Solution

$\begin{array}{l} Δm = 1 - 0 .993 = 0 .007 gm \\ ∴ E = (Δm) c^{2} = (0 .007 \times 10^{- 3}) {(3 \times 10^{8})}^{2} \\ = 63 \times 10^{10} J \end{array}$

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