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Question

Chemistry Question on Ideal gas equation

Which of the following represents total kineticenergy of one mole of the gas

A

1/2 RT

B

3/2 RT

C

(CpCv)(C_p-C_v) R

D

2/3 RT

Answer

3/2 RT

Explanation

Solution

PV = 13mnv2=23×12mnv2=23\frac{1}{3} \, mnv^2 = \frac{2}{3} \times \frac{1}{2} \, mnv^2 = \frac{2}{3} KE PV = RT \therefore 2/3 KE = RT or KE = 3/2 RT