COMEDK · Physics · 14. Kinetic Theory of Gases
Internal energy of \(\mathrm{n}_1\) moles of hydrogen at temperature T is equal to internal energy of \(\mathrm{m}_2\) moles of helium at temperature 2T. The ratio \(\dfrac{n_1}{n_2}\) is
- A \(\dfrac{3}{2}\)
- B \(\dfrac{3}{7}\)
- C \(\dfrac{6}{5}\)
- D \(\dfrac{5}{3}\)
Answer & Solution
Correct Answer
(C) \(\dfrac{6}{5}\)
Step-by-step Solution
Detailed explanation
The internal energy \(U\) of an ideal gas is given by \(U = n C_V T\), where \(n\) is the number of moles, \(C_V\) is the molar heat capacity at constant volume, and \(T\) is the temperature. For hydrogen (\(H_2\)), which is a diatomic gas, the degrees of freedom \(f = 5\).…
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