A gas bottle contains a mixture ofHelium and Oxygen molecules (O 2 is diatomic).

Question

  A gas bottle contains a mixture ofHelium and Oxygen molecules (O2 is diatomic). The `rootmean square' speed, vrms, for the O2molecules is 450 m/s. Calculate vrms for the Heliummolecules. DATA: Mass of O2 molecule = 32 × 1.66× 10-27 = 5.31 × 10-26 kg. Massof He molecule = 4 × 1.66 x 10-27 = 6.64 ×10-27 kg.


What is the temperature of thegas?   A gas bottle contains a mixture ofHelium and Oxygen molecules (O2 is diatomic). The `rootmean square' speed, vrms, for the O2molecules is 450 m/s. Calculate vrms for the Heliummolecules. DATA: Mass of O2 molecule = 32 × 1.66× 10-27 = 5.31 × 10-26 kg. Massof He molecule = 4 × 1.66 x 10-27 = 6.64 ×10-27 kg.


What is the temperature of thegas?

Explanation / Answer

we know rms speed v = [ 3RT / M ] fromthis v 1 / M       ( v o / v h ) = [ M h /M o ] given M o = Mass of O2 molecule = 32 × 1.66× 10-27 = 5.31 × 10-26 kg.          M h = Mass of He molecule = 4 × 1.66 x 10-27 =6.64 × 10-27 kg. substitue values weget ( v o / v h ) = 0.3535 from this v h = vo / 0.3535                   = 1272.8 m / s

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