Final answer:
Using the formula Number of stars = Total energy / Average mass of a star, the calculation results in a) 1.25 × 10³⁷ stars.
Step-by-step explanation:
To find the number of stars that can be created using half of the energy released in the Big Bang, we need to divide the total energy by the average mass of a star.
The energy released in the Big Bang is 5.0 × 10⁶⁷ J, and the average mass of a star is 4.00 × 10³⁰ kg.
We can use the formula:
Number of stars = Total energy / Average mass of a star.
Plugging in the values, the calculation would be:
Number of stars = (5.0 × 10⁶⁷ J) / (4.00 × 10³⁰ kg).
Simplifying this calculation, we get the answer as a) 1.25 × 10³⁷ stars.