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MHT CET · Chemistry · States of Matter

Calculate the partial pressure exerted by dioxygen from a mixture of \(32 \mathrm{~g} \mathrm{O}_2, 80 \mathrm{~g} \cdot \mathrm{Ar}\) (mol.mass 40) and 4 g dihydrogen( \(\mathrm{P}_{\text {total }}=10 \mathrm{bar}\) ).

  1. A 1 bar
  2. B 2 bar
  3. C 4 bar
  4. D 5 bar
Verified Solution

Answer & Solution

Correct Answer

(B) 2 bar

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \mathrm{n}_{\mathrm{O}_2}=\frac{32}{32}=1 \mathrm{~mol} \\ & \mathrm{n}_{\mathrm{Ar}}=\frac{80}{40}=2 \mathrm{~mol} ; \mathrm{n}_{\mathrm{H}_2}=\frac{4}{2}=2 \mathrm{~mol} \\ & x_{\mathrm{O}_2}=\frac{\mathrm{n}_{\mathrm{O}_2}}{\mathrm{n}_{\mathrm{Total}}}=\frac{1}{1+2+2}=\frac{1}{5}=0.2 \\ & \mathrm{P}_{\mathrm{O}_2}=x_{\mathrm{O}_2} \times \mathrm{P}_{\text {Total }}=0.2 \times 10=2 \mathrm{bar}\end{aligned}\)