Final answer:
To find out the total radiant energy emitted by the Sun in 1.55 × 10^7 seconds, multiply its energy emission rate (3.9 × 10^33 ergs/second) by the time period, resulting in 6.045 × 10^40 ergs.
Step-by-step explanation:
The question asks us to calculate the total amount of radiant energy emitted by the Sun over a specific time period.
Given that the Sun produces 3.9 × 10^33 ergs of radiant energy per second, we can find the total amount of energy produced in 1.55 × 10^7 seconds by multiplying the energy per second by the number of seconds.
To perform the calculation:
- Start with the energy production rate: 3.9 × 10^33 ergs/second.
- Multiply this rate by the time period: (3.9 × 10^33 ergs/second) × (1.55 × 10^7 seconds).
- Carry out the multiplication: 3.9 × 1.55 = 6.045.
- Adding the exponents: 10^33 + 10^7 = 10^40.
- The final answer is: 6.045 × 10^40 ergs of radiant energy.