Ideal gas law, equipartition and mean free path — used in stellar atmosphere problems.
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Q1 · Kinetic Theory of Gases · MEDIUM
A gas mixture contains helium and nitrogen in equal molar proportions at temperature T. If the root mean square speed of helium atoms is 1350 m/s, what is the root mean square speed of nitrogen molecules? (Atomic mass of He = 4 u, molecular mass of N₂ = 28 u)
Q2 · Kinetic Theory of Gases · EASY
An ideal gas at 27°C is heated at constant pressure until its volume doubles. What is the final temperature of the gas?
Q3 · Kinetic Theory of Gases · MEDIUM
In the solar corona, the temperature is approximately 2 × 10⁶ K. What is the root-mean-square speed of hydrogen atoms (mass = 1.67 × 10⁻²⁷ kg) at this temperature? (Boltzmann constant k = 1.38 × 10⁻²³ J/K)