JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A mixture of hydrogen and oxygen has volume \(2000 \; cm ^{3}\), temperature \(300 \; K\), pressure \(100 \; kPa\) and mass \(0.76 \; g\) The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be
- A \(\frac{1}{3}\)
- B \(\frac{3}{1}\)
- C \(\frac{1}{16}\)
- D \(\frac{16}{1}\)
Answer & Solution
Correct Answer
(B) \(\frac{3}{1}\)
Step-by-step Solution
Detailed explanation
\(PV = nRT\) \(n=\frac{100 \times 10^{3} \times 2000 \times 10^{-6}}{\frac{25}{3} \times 300}\) \(n=80 \times 10^{-3}\) \(n_{1}+n_{2}=0.08\) \(n_{1} \times 2+n_{2} \times 32=0.76\) \(\left(0.08-n_{2}\right) 2+n_{2}(32)=0.76\) \(n_{2}=0.02\) \(n_{1}=0.06\)…
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