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An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is \(n\). The in…

Q1

An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is \(n\). The internal energy of one mole of the gas is \(U_n\) and the speed of sound in the gas is \(\mathrm{v}_n\). At a fixed temperature and pressure, which of the following is the correct option?

[JEE Advanced 2023]

a

\(v_3<v_6\) and \(U_3>U_6\)

b

\(v_5>v_3\) and \(U_3>U_5\)

c

\(v_5>v_7\) and \(U_5<U_7\)

d

\(v_6<v_7\) and \(U_6<U_7\)

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