# Specific heat of ionised Helium in the Sun?

What is the specific heat of ionised Helium, given as ergs/g/K? This seems to be very difficult find on the internet.

This is in the context calculating the total heat of the Sun which is given as Mass $$\times$$ Temperature $$\times$$ Specific Heat.

Background:

Specific heat capacity is a measure of the energy required to raise the temperature of 1 kg of material by 1°C.

The SI unit of specific heat capacity is joule per kelvin per kilogram, $$J⋅kg^{−1}⋅K^{−1}$$

The equivalent definition using cgs units is the amount of heat energy (measured in ergs) required to raise the temperature of one gram of the substance by one Kelvin (erg/(g·K)).

• It might be easier to provide an answer if you give the context for why you ask this question. Are you interested in the plasma phase of ionized Helium? Nov 14, 2021 at 20:41
• @KF Gauss, it's in the context of astronomy, interstellar space and stars. Wait a moment while I check it out, and I will reply with the precise context. Nov 14, 2021 at 20:57
• @KF Gauss, the context is that I want to figure out the total heat of the Sun which is given as Mass $\times$ Temperature $\times$ Specific Heat. Nov 14, 2021 at 23:22

A monoatomic ideal gas has mean energy $$\frac 32 kT$$ per particle, or a molar heat capacity of $$\frac 32 R$$, where $$R$$ is the ideal gas constant. A mole of completely ionized helium will have mass four grams and heat capacity $$3\times\frac32 R$$, because each free nucleus is accompanied by two free electrons.