Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2011

  • question_answer
    A solution containing 4g of polyvinyl chloride polymer in 1 L of dioxane was found to have an osmotic pressure of \[4.1\times {{10}^{-4}}\] atm at\[{{27}^{o}}C\] The approximate molecular weight of the polymer is

    A)  \[1500\]                             

    B)  \[10000\]

    C)  \[2.4\times {{10}^{5}}\]               

    D)  \[2\times {{10}^{12}}\]

    Correct Answer: C

    Solution :

    Given, weight of \[PVC,\text{ }w=4\text{ }g\] Volume of solution,   \[V=1\text{ }L\] Osmotic pressure,     \[\pi =4.1\times {{10}^{-4}}\] Temperature, \[T={{27}^{o}}C=27+273=300\text{ }K\] \[\because \]     \[\pi V=nRT\] or    \[\pi V=\frac{w}{M}RT\] (.M = molecular weight)                 \[4.1\times {{10}^{-4}}\times 1=\frac{4}{M}\times 0.0821\times 300\]                 \[M=\frac{4\times 0.0821\times 300}{4\times {{10}^{-4}}\times 1}\] \[\therefore \]  \[M=2.4\times {{10}^{5}}\]


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