Suppose the elements X and Y combine to form two compounds XY2 and X3Y2 . When 0.2 mole of XY2 weighs 20 g and 0.1 mole of X3Y2 weighs 18 g , the atomic weights of Xand Y are
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Let x and y be the atomic weights of X and Y
Given 0.1 mole of XY
2
weighs 10g
⇒x+2y=
0.1
10
=100⟶(1)
0.05 mole of X
3
Y
2
weighs 9g
⇒3x+2y=
0.05
9
=180⟶(2)
(1)⇒x=100−2y
Substituting for x in Equation (2)
⇒3(100−2y)+2y=180
⇒300−6y+2y=180
⇒y=30
Hence x=100−2(30)=40
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