Question

Kinetic energy of one mole of an ideal gas at 300k is

Answer 1

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Answer 2

Kinetic energy of one mole of an ideal gas at 300 K is 3.74 kJ/mol.          

Explanation:

It is known that relation between kinetic energy, number of moles and temperature is as follows.

               K.E = $\frac{3}{2}nRT$

where,     R = gas constant

               n = number of moles

                T = temperature

Putting the given values into the above formula as follows.

           K.E = $\frac{3}{2}nRT$

                  = $\frac{3}{2} \times 1 \times 8.314 J/K mol \times 300 K$  

                  = 3741.3 J/mol

or,              = 3.74 kJ/mol          (as 1 kJ = 1000 J)

Therefore, kinetic energy of one mole of an ideal gas at 300 K is 3.74 kJ/mol.