Which one of the following gases possesses the largest internal energy

Options

A. `2` moles of helium occupying `1 m^(3) at 300 K`
B. `56` kg of nitrogen at `107 Nm^(-2) and 300 K`
C. `8` grams of oxygen at `8 atm 300 K`
D. `6 xx 10^(26)` molecules of argon occupying `40 m^(3) at 900 K`

Answer

B

Explanation

`Delta U = mu C_(v) DeltaT=m/M C_v Delta T = N/(N_A) C_v Delta T`
`implies (DeltaU)_(n) = (56xx10^3))/(14) xx 5/2 R xx 300`
and `(DeltaU)_(A) = (6xx10^(26))/(6xx10^(23)) xx 3/2Rxx900implies (Delta U)_(N) gt (Delta U)_(A)`.