The average kinetic energy of the molecules in a gas sample depends only on the
ID: 540900 • Letter: T
Question
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.
where R=8.314 J/(mol·K) and 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 N2 molecules at 309 K?
What is the rms speed of He atoms at 309 K?
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. 3RT where R-8.314 J(mol- K) and. is molar mass in kilograms per mole. Note that a joule is the same as a kg m2ls rms speed= What is the rms speed of N2 molecules at 309 K? Number m/s What is the rms speed of He atoms at 309 K? Number m/sExplanation / Answer
rms speed of N2 molecules at 309 K
Vrms = sqrt(3RT/M)
R = 8.314 j.k-1.mol-1
T = 309 k
M = molarmass of N2 = 28 g/mol = 28*10^-3 kg/mol
Vrms = sqrt(3*8.314*309/(28*10^-3))
= 524.64 m/s
rms speed of He atoms at 309 K
Vrms = sqrt(3RT/M)
R = 8.314 j.k-1.mol-1
T = 309 k
M = molarmass of He = 4 g/mol = 4*10^-3 kg/mol
Vrms = sqrt(3*8.314*309/(4*10^-3))
= 1388.1 m/s
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