Know that stars are powered by nuclear reactions that release energy and that in stable stars the nuclear reactions involve the fusion of hydrogen into helium

6.2.1 The Sun as a Star

🌞 The Sun is a typical main‑sequence star that shines by converting hydrogen into helium in its core. Think of it as a giant nuclear furnace that keeps the Sun hot and bright.

In a stable star, the energy produced by nuclear reactions balances the energy that radiates away, keeping the star in a steady state.

How Stars Get Their Power

The Sun’s power comes from nuclear fusion, where light atomic nuclei combine to form heavier nuclei, releasing energy according to Einstein’s equation:

\$E = mc^2\$

Here, \$m\$ is the mass lost during fusion, and \$c\$ is the speed of light.

Hydrogen → Helium Fusion (Proton‑Proton Chain)

The dominant process in the Sun is the proton‑proton (pp) chain, which can be summarised in three main steps:

  1. Two protons (\$p\$) fuse to form a deuterium nucleus (\$^2\!H\$), releasing a positron (\$e^+\$) and a neutrino (\$\nue\$).
    \$p + p \rightarrow ^2\!H + e^+ + \nu
    e\$
  2. Deuterium captures another proton to make helium‑3 (\$^3\!He\$) and a gamma photon (\$\gamma\$).
    \$^2\!H + p \rightarrow ^3\!He + \gamma\$
  3. Two helium‑3 nuclei fuse to produce helium‑4 (\$^4\!He\$) and release two protons back into the mix.
    \$^3\!He + ^3\!He \rightarrow ^4\!He + 2p\$

Overall, four protons are turned into one helium nucleus, and the mass difference is converted into energy.

Why the Sun is Stable

In a stable star:

  • The pressure from fusion balances the gravitational pull trying to crush the star.
  • The temperature in the core is just right for the pp chain to run at the right rate.
  • If fusion slows, the core cools, gravity compresses it, raising the temperature and speeding up fusion again.

This feedback keeps the Sun shining steadily for billions of years.

Key Equations & Numbers

ProcessEnergy Released (per reaction)
pp chain (overall)\$26.7\$ MeV
Core temperature\$1.5 \times 10^7\$ K
Core density\$1.5 \times 10^5\$ kg m⁻³

Exam Tips

Remember:

  • Show the full pp chain when asked about hydrogen fusion.
  • Use the equation \$E = mc^2\$ to explain why a small mass loss produces huge energy.
  • Explain the feedback mechanism that keeps a star stable.
  • Use the key numbers (temperature, density, energy per reaction) as quick reference points.

Good luck! 🚀