JEE Main & Advanced JEE Main Paper (Held On 16 April 2018)

  • question_answer
    Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is: (Atomic wt. of\[Cl=35.5u\]) [JEE Main 16-4-2018]

    A)  16.4               

    B)  1.46

    C)  0.64               

    D)  0.46

    Correct Answer: D

    Solution :

     Ideal gas equation -                 \[PV=nRT\]                 \[n=m/M\]                 So,\[PV=mRT/M\]                 \[P=mRT/MV\]                 \[P=dRT/M\]s If temperature and pressure is constant then \[d\propto M\] \[{{d}_{1}}/{{d}_{2}}={{M}_{1}}/{{M}_{2}}\] (\[{{d}_{1}}\]and\[{{M}_{1}}\]are density and molecular mass of ammonia) (\[{{d}_{2}}\]and\[{{M}_{2}}\]are density and molecular mass of hydrogen chloride)                 \[{{d}_{1}}/{{d}_{2}}=17/36.5\]                 \[{{d}_{1}}/{{d}_{2}}=0.46.\] Note: P is pressure, V is volume, n is number of moles, R is ideal gas constant and T is absolute temperature. m is mass and M is molar mass. d is density.


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