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J & K CET Engineering J and K - CET Engineering Solved Paper-2008

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

    A)  1500

    B)  10,000

    C)  \[\text{2}\text{.4}\times \text{1}{{\text{0}}^{5}}\]

    D) \[\text{2}\times \text{1}{{\text{0}}^{12}}\]

    Correct Answer: C

    Solution :

     Given, weight of \[PVC,\,w=4\,g\] Volume of solution, \[V=1\,L\] Osmotic pressure,   \[\pi =4.2\times {{10}^{-4}}\] Temperature, \[T=27{{\,}^{o}}C=27+273=300\,K\] \[\Rightarrow \] \[\pi V=nRT\] 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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