Answer:
[tex]9.3\cdot 10^{37}[/tex]
Explanation:
Power is defined as the energy produced (E) per unit of time (t):
[tex]P= \frac{E}{t}[/tex]
This means that the energy produced in the Sun each second (1 s), given the power [tex]P=4.0\cdot 10^{26}W[/tex], is
[tex]E=Pt=(4.0\cdot 10^{26}W)(1s )=4.0\cdot 10^{26} J[/tex]
Each p-p chain reaction produces an amount of energy of
[tex]E_1 = 4.3\cdot 10^{-12} J[/tex]
in order to get the total number of p-p chain reactions per second, we need to divide the total energy produced per second by the energy produced by each reaction:
[tex]n=\frac{E}{E_1}=\frac{4.0\cdot 10^{26} J}{4.3\cdot 10^{-12} J}=9.3\cdot 10^{37}[/tex]
