Question

The sun produces 3.9. 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 . 107

Answer 1

To get the ergs of radiant energy that the sun has produced in x amount of seconds, we can just multiply the rate at which it is produced and the time.

`\begin{gathered} \text{Given:} \\ \text{rate}=3.9\cdot10^(33)\text{ ergs/second} \\ \text{time}=1.55\cdot10^7\text{ second} \\ \\ \text{Take note that we can just rewrite the rate as} \\ 3.9\cdot10^(33)\text{ ergs/second}\rightarrow\frac{3.9\cdot10^(33)\text{ ergs}}{\text{second}} \end{gathered}`

Multiply the two given and we have

`\begin{gathered} \frac{3.9\cdot10^(33)\text{ ergs}}{\text{second}}\cdot1.55\cdot10^7\text{ second} \\ =\frac{3.9\cdot10^(33)\text{ ergs}}{\cancel{\text{second}}}\cdot1.55\cdot10^7\text{ }\cancel{\text{second}} \\ =3.9\cdot10^(33)\cdot1.55\cdot10^7\text{ ergs} \\ =3.9\cdot1.55\cdot10^(33)\cdot10^7\text{ ergs} \\ =6.045\cdot10^(33+7)\text{ ergs} \\ =6.045\cdot10^(40)\text{ ergs} \\ \\ \text{Therefore, the sun produced }6.045\cdot10^(40)\text{ ergs of radiance energy in }1.55\cdot10^7\text{ seconds.} \end{gathered}`