CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    56 g of nitrogen and 96 g of oxygen are mixed isothermalty and at a total pressure of 10 atm. The partial pressures of oxygen and nitrogen (in atm) are respectively

    A)  4, 6                                       

    B)  5, 5                

    C)  2, 8                       

    D)         8, 2

    E)  6, 4

    Correct Answer: E

    Solution :

    According to Daltons law, \[{{p}_{solute}}={{x}_{solute}}\times p\] where,\[{{p}_{solute}}=\]partial pressure of solute \[{{x}_{solute}}=\]fraction of solute p = total pressure Given, mass of \[{{N}_{2}}=56\text{ }g\] \[\therefore \]Moles of \[{{N}_{2}}({{n}_{{{N}_{2}}}})=\frac{56}{28}=2\,mol\] Mass of \[{{O}_{2}}=96g\] \[\therefore \] Moles of\[{{O}_{2}}({{n}_{{{O}_{2}}}})=\frac{96}{32}=3\,mol\]                 \[{{x}_{{{N}_{2}}}}=\frac{2}{2+3}=0.4\]                 \[{{x}_{{{O}_{2}}}}=\frac{3}{2+3}=0.6\] \[\therefore \]  \[{{p}_{{{N}_{2}}}}={{x}_{{{N}_{2}}}}\times p=0.4\times 10=4\,atm\]                 \[{{p}_{{{O}_{2}}}}={{x}_{{{O}_{2}}}}\times p=0.6\times 10=6\,atm\]


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