Gas mixture consists of 8 moles argon |KTG & THERMODYNAMICS

JEE MAIN 2024

31.01.24 S2

Question

A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

Select the correct option:

29RT

20RT

27RT

21RT

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Solution

$\begin{aligned} & \mathrm{U}=\mathrm{nC}_{\mathrm{V}} \mathrm{T} \\ & \Rightarrow \mathrm{U}=\mathrm{n}_1 \mathrm{C}_{\mathrm{V}_1} \mathrm{~T}+\mathrm{n}_2 \mathrm{C}_{\mathrm{V}_2} \mathrm{~T} \\ & \Rightarrow 8 \times \frac{3 \mathrm{R}}{2} \times \mathrm{T}+6 \times \frac{5 \mathrm{R}}{2} \times \mathrm{T} \\ & =27 \mathrm{RT}\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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