Question

In a hypothetical star,two carbon nuclei fuse to form magnesium.The reaction is:(take :$1amu=931MeV/c^2)$
${}^{12}C{+}^{12}C{\to }^{24}Mg$
The energy released per carbon nuclei is: (Mass of ${}^{24}Mg=23.985amu)$

• A. $13.965MeV$
• B. $11.12MeV$
• C. $6.982MeV$
• D. $10.12MeV$

Answer 1

The correct option is A $13.965MeV$

${}^{12}C{+}^{12}C{\to }^{24}Mg$
mass of ${}^{12}C=12.0642amu$
Total input mass $m_1=2\times 12.0642$
$=24.1284$ amu
Mass of ${}^{24}Mg$=output mass
$=m_0=23.955$
mass loss $=m_1-m_o$
$Am=24.1284-23.985$
$=0.1434amu$
Energy released $=0.1434\times 931Mev$
$=13.965Mev$