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

Answer:

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

Explanation:

The formula for the rms speed is given by

$v_{rms}=\sqrt{\frac{3RT}{M}}$

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

$v_{rms}=\sqrt{\frac{3\times 8.314\times 373}{0.032}}$

vrms = 539.19 m/s

For carbon di oxide:

M = 44 g = 0.044 kg

$v_{rms}=\sqrt{\frac{3\times 8.314\times 373}{0.044}}$

vrms = 459.83 m/s

For hydrogen:

M = 2 g = 0.002 kg

$v_{rms}=\sqrt{\frac{3\times 8.314\times 373}{0.002}}$

vrms = 2156.78 m/s