Q6 / 97 · NTA Abhyas (JEE Main) 2020 · Chemistry · Solutions

The elements X and Y form compound having molecular formula XY2 and XY4 (both are non-electrolyses). When dissolved in 20 g benzene, 1 g XY2 lowers the freezing point by 2 .3 o C whereas 1 g of XY4 lowers the freezing point by 1 .3 o C . Molal depression constant for benzene is 5.1 . Thus atomic masses of X and Y respectively are

  • A
    42.64, 21.10
  • B
    21.10, 42.64
  • Correct answer
    C
    25.59, 42.64
  • D
    42.64, 25.69

Solution

ΔTf=KfwM.W×1000
2.3=5.1×1MXY2×100020
MXY2=110.87
and 1.3=5×1MXY4×100020
MXY4=196.15
Now, let atomic mass of X = a and atomic mass of Y=b
Thus, a+2b=110.87
and -a±4b=-196.15-2b=-85.28
b=42.64
and thus a=25.59

Hence, the correct answer is option: 'C'.

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