Q. Which one of the following gases possesses the largest internal energy?
A) 2 moles of helium occupying 1 $m^{3}$ at 300 K
B) 56 g of nitrogen at 107 N $m^{- 2}$ at 300 K
C) 8 g of nitrogen at 107 $Nm^{- 2}$ at 300 K
D) $6 \times 10^{26}$ molecules of argon occupying $40\ m^{3}$ at 900K
Explanation
(d) Internal energy $U =$ number of moles $\times$ number of degrees of freedom $\times \frac{1}{2}RT$
out of four cases, product of number of moles (1000) degrees of freedom (3) and $T( = 900\ K)$ is maximum for argon gas
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.