A gas mixture consists of 3 moles of oxygen and 5 moles of argon at...

A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational and rotational modes, the total internal energy of the system is

Options

A $15 \mathrm{RT}$
B $12 \mathrm{RT}$
C $4 \mathrm{RT}$
D $20 \mathrm{RT}$

Correct answer

A. $15 \mathrm{RT}$

Step-by-step solution

U=\frac{f_{1}}{2} n_{1} R T+\frac{f_{2}}{2} n_{2} R T

Considering translational and rotational modes, degrees of freedom

\mathrm{f}_{1}=5

and

\mathrm{f}_{2}=3

\therefore \mathrm{u}=\frac{5}{2}(3 \mathrm{RT})+\frac{3}{2} \times 5 \mathrm{RT}

\mathrm{U}=15 \mathrm{RT}

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another… JEE Main 2026 Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026 Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026 One gas of n_1 mole of molecules at temperature T_1 , volume V_1 , and pressure P_1 , and… JEE Main 2026 A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K… JEE Main 2026 The mean free path of a molecule of diameter 5 × 10^ -10 ~m at the temperature 41^ ∘ C… JEE Main 2026 A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has… JEE Main 2026 Consider two boxes containing ideal gases A and B such that their temperatures, pressures… JEE Main 2026 Full Kinetic Theory of Gases list All JEE Main PYQs