Question

(14) At what temperature is the root mean square speed of an atom in an argon gas
cylinder equal to the rms speed of a helium gas atom at -20 °C?
(atomic mass of Ar = 39.9 u, of He = 4.0 u).

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Answer 1

Thus at around 4098 (3825°C) kelvin, the rms speed of nitrogen molecules is equal to the rms speed of hydrogen molecules at 293 Kevin (20°C).

Answer 2

Answer:

Mean square speed of the Oxygen = 130 m/s.

Using the formula,

Mean Square Speed = 

Where R is the Universal constant of gas, and T is the temperature, M is the Molar mass of the Oxygen = 32 × 10⁻³ g.

∴ 130 = √[2 × 8.31T/(32 × 10⁻³)]

130 × √(32 × 10⁻³) = √(8.31 × 2T)

∴ √T = 5.7

∴ T = 32.49 K.

Explanation: