JEE Main & Advanced Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Critical Thinking

  • question_answer
    If some moles of \[{{O}_{2}}\] diffuse in 18 sec and same moles of other gas diffuse in 45 sec then what is the molecular weight of the unknown gas         [CPMT 1988]

    A)                 \[\frac{{{45}^{2}}}{{{18}^{2}}}\times 32\]             

    B)                 \[\frac{{{18}^{2}}}{{{45}^{2}}}\times 32\]

    C)                 \[\frac{{{18}^{2}}}{{{45}^{2}}\times 32}\]             

    D)                 \[\frac{{{45}^{2}}}{{{18}^{2}}\times 32}\]

    Correct Answer: A

    Solution :

               \[{{r}_{{{O}_{2}}}}=\frac{x}{18}mole/\sec \] Þ\[{{r}_{g}}=\frac{x}{45}mol/\sec \]                                 \[{{M}_{g}}={{M}_{O}}_{2}{{\left( \frac{{{r}_{{{O}_{2}}}}}{{{r}_{g}}} \right)}^{2}}=32{{\left( \frac{x}{18}\times \frac{45}{x} \right)}^{2}}\]     \[=32\times \frac{{{45}^{2}}}{{{18}^{2}}}\]


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