The average kinetic energy of the molecules in a gas sample depends only on the temperature, ?.T. However, given the same kinetic energies, a lighter molecule will move faster than a heavier molecule, as shown in the equation for rms speed
rms speed=3??ℳ⎯⎯⎯⎯⎯⎯⎯⎯⎯√rms speed=3RTℳ
where ?=8.314 J/(mol⋅K)R=8.314 J/(mol⋅K) and ℳℳ is molar mass in kilograms per mole. Note that a joule is the same as a kilogram‑meter squared per second squared (kg·m2/s2).
What is the rms speed of F2F2 molecules at 349 K?
Molar mass of F2,
mm = 38.0g/mol
= 0.038 Kg/mol
T = 349 K
vrms = sqrt (3*R*T/M)
here : T is temperature in Kelvin
and M is molar mass in Kg/mol
So,
vrms = sqrt(3*8.314*349.0/0.038)
= 4.786*10^2 m/s
Answer: 479 m/s
The average kinetic energy of the molecules in a gas sample depends only on the temperature, ?.T. However, given the sam...
The average kinetic energy of the molecules in a gas sample depends only on the temperature, ?. However, given the same kinetic energies, a lighter molecule will move faster than a heavier molecule, as shown in the equation for rms speed rms speed=3??ℳ⎯⎯⎯⎯⎯⎯⎯⎯⎯√ where ?=8.314 J/(mol⋅K) and ℳ is molar mass in kilograms per mole. Note that a joule is the same as a kilogram‑meter squared per second squared (kg·m2/s2). What is the rms speed of O2 molecules at 357...
The average kinetic energy of the molecules in a gas sample depends only on the temperature, T. But given the same kinetic energies, a lighter molecule will move faster than a heavier molecule.R=8.314 J/(mol·K) and ℳ is molar mass in kilograms per mole. Note that a joule is the same as a kg·m2/s2.What is the rms speed of Cl2 molecules at 415 K? What is the rms speed of He atoms at 415 K?
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