Question

Calculate the energy ?E of a sample of 2.30 mol2.30 mol of ideal oxygen gas (O2)(O2) molecules at a temperature of 370.0 K370.0 K. Assume that the molecules are free to rotate and move in three dimensions, but ignore vibrations

Answer 1

According to kinetic theory of gasses, the energy of an ideal gas is given by

  

Where,

f is degrees of freedom

n is number of moles

R = 8.314 J/ mol.K is universal gas constant

T is absolute temperature

Given,

n = 2.30 mol

T = 370 K

And as O₂ is a diatomic gas, it has total 5 degrees of freedom (if we neglect vibration) : 3 translational and 2 Rotational

i.e. f = 5  

So,

  

or,

or,  

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