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

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Correct Answer

(B) \(\frac{3}{1}\)

Step-by-step Solution

Detailed explanation

\(PV = nRT\)

\(n=\frac{100 \times 10^{3} \times 2000 \times 10^{-6}}{\frac{25}{3} \times 300}\)

\(n=80 \times 10^{-3}\)

\(n_{1}+n_{2}=0.08\)

\(n_{1} \times 2+n_{2} \times 32=0.76\)

\(\left(0.08-n_{2}\right) 2+n_{2}(32)=0.76\)

\(n_{2}=0.02\)

\(n_{1}=0.06\)

\(\frac{n_{1}}{n_{2}}=\frac{3}{1}\)

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