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JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A mixture of hydrogen and oxygen has volume \(500\, {cm}^{3}\), temperature \(300\, {K}\), pressure \(400\, {kPa}\) and mass \(0.76\, {g}\). The ratio of masses of oxygen to hydrogen will be :-
- A \(3: 8\)
- B \(3: 16\)
- C \(16: 3\)
- D \(8: 3\)
Answer & Solution
Correct Answer
(C) \(16: 3\)
Step-by-step Solution
Detailed explanation
\({PV}={nRT}\) \(400 \times 10^{3} \times 500 \times 10^{-6}={n}\left(\frac{25}{3}\right)(300)\) \({n}=\frac{2}{25}\) \({n}={n}_{1}+{n}_{2}\) \(\frac{2}{25}=\frac{{M}_{1}}{2}+\frac{{M}_{2}}{32}\) Also \({M}_{1}+{M}_{2}=0.76\, {gm}\) \(\frac{{M}_{2}}{{M}_{1}}=\frac{16}{3}\)
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