Answer:
Step I. Calculation of the molecular masses
of the two compounds
For the compound AB2:
= 110.87 g mol?1.
For the compound ;
W2 = 1 g ; w1 = 20 g
= 0.02 kg ;
Tf
= 1.3 K; Kf = 5.1 K kg mol?1
= 196.15 g mol?I
Step II. Calculation of the atomic masses
of elements A and B
Let the atomic mass of element A = a
Let the atomic mass of element B = b
Molecular
mass of AB2 = a + 2b
Molecular mass of AB4 = a + 4b
According to available information
a + 2b = 110.87 ... (i)
a + 4b = 196.15 ... (ii)
Subtract equation (i) from (ii), we get
2b = (196.15 ? 110.87) = 85.28
or b = 85.28/2= 42.64
Substituting the value of ?b? in equation
a + 2 (42.64) = 110.87
or a = 110.87 ? 85.28 = 25.59
Thus, Atomic mass of element A = 25.59
Atomic
mass of element B = 42.64
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