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4. The equation of state of an ideal gas of N species is written as: = P= (N1) kg7, where the number density of the spec

Posted: Sun May 22, 2022 8:32 am
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4 The Equation Of State Of An Ideal Gas Of N Species Is Written As P N1 Kg7 Where The Number Density Of The Spec 1
4 The Equation Of State Of An Ideal Gas Of N Species Is Written As P N1 Kg7 Where The Number Density Of The Spec 1 (97.18 KiB) Viewed 12 times
4. The equation of state of an ideal gas of N species is written as: = P= (N1) kg7, where the number density of the species i is: X; ni = Аст, Р, P where Xį and Aį are the mass fraction and mass number per particle of species i at a given point inside a gas system, p is the mean density of the matter, and kb and mh are the default physical parameters. The matter inside a star can be regarded as an ideal gas with each atom being fully ionised due to the high temperature in its interior. (a) Prove that the equation of state of stars can be written as: RTP P = > u - where R= kb/mh is the gas constant and M is the mean molecular weight per particle. Find the formula for u in terms of Xi and Ai. [6 marks]