A star converts all its hydrogen to helium, achieving 100% helium composition. It then converts the helium to carbon via the reaction `._2He^4 + ._2He^4+ ._2He^4 to._6C^(12)+7.27MeV`
The mass of the star is `5.0xx10^(32)kg` and it generates energy at the rate of `5xx10^(30)kg` watt. How long will it take to convert all the helium to carbon at this rate?

Explanation

To solve the problem, we need to follow these steps:

### Step 1: Convert the mass of the star to grams
The mass of the star is given as \(5.0 \times 10^{32} \, \text{kg}\). To convert this to grams, we use the conversion factor \(1 \, \text{kg} = 1000 \, \text{g}\).

\[ \text{Mass of star in grams} = 5.0 \times 10^{32} \, \text{kg} \times 1000 \, \text{g/kg} = 5.0 \times 10^{35} \, \text{g} \]
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