Physics - Modern Physics Question with Solution | TestHub

A star has $100\%$ helium composition. It starts to convert three ${}^4\mathrm{He}$ into one ${}^{12}\mathrm{C}$ via triple alpha process as ${}^4\mathrm{He}+{}^4\mathrm{He}+{}^4\mathrm{He}\to {}^{12}\mathrm{C}+\mathrm{Q}$. The mass of the star is $2.0\times 10^{32}\mathrm{kg}$ and it generates energy at the rate of $5.808\times 10^{30}\mathrm{W}$. The rate of converting these ${}^4\mathrm{He}$ to ${}^{12}\mathrm{C}$ is $\mathrm{n}\times 10^{42}{\mathrm{s}}^{-1}$, where $\mathrm{n}$ is _________ [ Take, mass of ${}^4\mathrm{He}=4.0026\mathrm{u}$, mass of ${}^{12}\mathrm{C}=12\mathrm{u}$ ]