Question

Elements X and Y combine to form two compounds XY and X2Y. Find the atomic weight of X and Y, if the weight of 0.1 moles of XY is 10g and 0.05 moles of X2Y is 9g? ​

Answer 1

Explanation:

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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Answer 2

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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