A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons of mass into energy every second. How many tons of mass will be transformed into energy during the star's 10-billion-year lifetime. Hint: Find the number of seconds in 10 billion years.

Respuesta :

Answer:

2.20752 x [tex]10^{24}[/tex]

Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

  • 365 days refer to the total number of days per year
  • 86,400 seconds refer to the number of seconds per day

Let's solve.

  • 365 x 86,400 = 31,536,000 or 3.1536 x [tex]10^{7}[/tex]

Therefore, one year has 3.1536 x [tex]10^{7}[/tex] seconds.

Next, you have to know the number of seconds in 10 billion years.

  • (3.1536 x [tex]10^{7}[/tex]) x  (1.0 x [tex]10^{10}[/tex]) = 3.1536 x [tex]10^{17}[/tex]

The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.

  • (3.1536 x [tex]10^{17}[/tex]) x 7,000,000 = 2.20752 x [tex]10^{24}[/tex]