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211.


Problem 23.27 (RHK)


Oxygen (), gas at and 1.0 atm pressure is confined to a cubical box 25 cm on a side. We have to calculate the change in gravitational potential energy of a mole of oxygen molecules in falling the height of the box to the total kinetic energy of the molecules.


Solution:           Click For PDF Version

The kinetic energy of one mole of molecules at temperature T K is

where is the Avogadro number and is the Boltzmann constant. Temperature of is 288.16 K. Therefore,

Molecular weight of is, therefore the change in gravitational potential energy of one mole of oxygen molecules when they drop in height by 25 cm will be

Ratio of change in gravitational potential energy of one mole of oxygen molecule in a vertical distance of 25 cm to the thermal energy at will be