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

  • question_answer
    What is the pressure of 2 mole of \[N{{H}_{3}}\] at \[{{27}^{o}}C\] when its volume is 5 litre in vander Waal?s equation (a = 4.17, b = 0.03711)             [JEE Orissa 2004]

    A)                 10.33 atm           

    B)                 9.33 atm

    C)                 9.74 atm              

    D)                 9.2 atm

    Correct Answer: B

    Solution :

               \[\left( P-\frac{{{n}^{2}}a}{{{V}^{2}}} \right)\left( V-nb \right)=nRT\]                    \[\left( P-\frac{{{(2)}^{2}}\times 4.17}{{{(5)}^{2}}} \right)\left( 5-2\times .03711 \right)=2\times .0821\times 300\]                                 \[P=\frac{2\times .0821\times 300}{5-2\times .03711}-\frac{4.7\times {{2}^{2}}}{{{5}^{2}}}\Rightarrow 10-0.66\]\[=9.33atm\]


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