Question

Given that the Sun's effective temperature is 5700K with its radius of 696,340 km. How many hydrogens convert to helium in a second if all the energy of the sun is coming from the hydrogen to helium fusion process

Answer 1

The number of  hydrogens converts to helium in a second will be 3. If all the energy of the sun is coming from the hydrogen to helium fusion process.

What is helium fusion process?

When the temperature in the core hits around 100 million degrees, the helium will begin to fuse into carbon in a mechanism known as the triple-alpha process

The given data in the problem is;

The Sun's effective temperature is,T= 5700K

The radius IS,R=696,340 km.

The energy emitted is found is;

$\rm E = 4 \pi \sigma R^2T^4 \\\\ \rm E = 4 \times 3.14 \times 5.67 \times 10^{-8} \times (6.9634 \times 10^8)^2 \times (5700)^4 \\\\ E= 36451449876.6 \times10^{16} \ Joule \\\\ E = 3.65 \times 10^{26} \ J$

If 26.7 MeV energy is required in hydrogen to helium fusion process;

$\rm 26.7 \ MeV = 4 \ hydrogen \\\\ 26.7 \times 10^6 \times 1.6 \times 10^{19} = 4 \ hydroge n \\\\ 3.65 \times 10^{26} = \frac{4 \times 3.65 \times 10^{26} }{26.7 \times 1.6 \time 10^{-13}}$

$\rm n = 0.34 \times 10^{39} \\\\ n= 3.4 \times 10^{38} \ hydrogen$

Hence, hydrogens convert to helium in a second will be 3.4 ×10³⁶.

To learn more about the helium fusion process, refer to the link;

https://brainly.com/question/12291168

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