Physics

Problem

A star has 100% helium composition. It starts to convert three

^4\text{He}

into one

^{12}\text{C}

via triple alpha process as

^4\text{He} + ^4\text{He} \rightarrow ^{12}\text{C} + Q

. The mass of the star is

2.0 \times 10^{32}

kg and it generates energy at the rate of

5.808 \times 10^{30}

W. The rate of converting these

^4\text{He}

^{12}\text{C}

n \times 10^{42}

\text{s}^{-1}

, where

n

is _____. [April 9, 2024 (I)] [Take, mass of

^4\text{He} = 4.0026

u, mass of

^{12}\text{C} = 12