The average kinetic energy of translational motion of a molecule, in equilibrium, is (3/2)kBT. What is...

Question

Question

The average kinetic energy of translational motion of a molecule, in equilibrium, is (3/2)k_BT. What is the average of the velocity squared in pure oxygen (O₂) at standard pressure (1 bar) and concentration 0.001 mole/L? Give answer in (m/sec)² . (To determine the temperature, please use the equation of state for the ideal gas.)

Answer 1

Answer #1

ideal gas law is

where n is the number of moles, P is the pressure, T is temperature and V is the volume

therefore

mass of oxygen molecule

Therefore average of the velocity squared is

Answer 2

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