RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    The osmotic pressure of \[5%\] solution of cane-sugar at \[{{150}^{o}}C\] is:

    A) \[3.47\,\,atm\]                 

    B) \[5.07\,\,atm\]

    C) \[2.09\,\,atm\] 

    D)        \[4.03\,\,atm\]

    Correct Answer: B

    Solution :

    We know that Osmotic pressure\[(\pi )=\frac{n}{V}RT\]                 \[n=\frac{weight\,\,of\,\,solute\,\,(w)}{molar\,\,mass\,\,of\,\,solute\,\,(M)}\]                 \[T=273+150=423\] \[\therefore \]  \[\pi =\frac{wRT}{MV}\]                      \[=\frac{5\times 0.0821\times 1000\times 423}{342\times 1000}=5.07\] [mol. mass of\[{{C}_{12}}{{H}_{22}}{{O}_{11}}\] \[=(12\times 12)+22+(11\times 16)\] \[=144+22+176=342]\]


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