Question

Find the values of the root mean square translational speed v, molecules in gaseous diatomic oxygen (O2), gaseous carbon dioxide (CO2), and gaseous diatomic hydrogen (H2), at temperature 100° C.

Answer 1

539.19 m/s , 459.83 m/s , 2156.78 m/s

Step-by-step explanation:

The formula for the rms speed is given by

`v_(rms)=\sqrt{(3RT)/(M)}`

Where, R be the gas constant, T be the absolute temperature and M be the molecular mass of the gas

R = 8.314 in SI units

T = 100°C = 100 + 273 = 373 K

For Oxygen:

M = 32 g = 0.032 kg

`v_(rms)=\sqrt{(3* 8.314* 373)/(0.032)}`

vrms = 539.19 m/s

For carbon di oxide:

M = 44 g = 0.044 kg

`v_(rms)=\sqrt{(3* 8.314* 373)/(0.044)}`

vrms = 459.83 m/s

For hydrogen:

M = 2 g = 0.002 kg

`v_(rms)=\sqrt{(3* 8.314* 373)/(0.002)}`

vrms = 2156.78 m/s