Question

If the average transtational kinetic energy of ${}^{\prime }{N}_2^{\prime }$ gas is $E_1$ kJ ${mol}^{-1}$ at 1400 K, What will be the average kinetic energy of 'N' gas at 700 K in kJ ${mol}^{-1}$?

• A. ${2E}_1$
• B. $E_1$
• C. $\frac{E_1}{2}$
• D. $\frac{E_1}{4}$

Answer 1

Answer: (C)

$\frac{E_1}{2}$

Average kinetic energy is directly proportional to temperature and in the secont case temperature became half of the original one so average kinetic energy will also become half.

Hence correct option is 'C'.