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Question

We know that balancing of a chemical equation is entirely based on law of conservation of mass. However the concept of Principle of Atom Conservation (POAC) can also be related to law of conservation of mass in a chemical reaction. So, POAC can also act as a technique for balancing a chemical equation. For example, for a reaction : ABC3AB+C2 On applying POAC for A, B & C and relating the 3 equations, we get : nABC32=nAB2=nC23 nx: number of moles of X) Thus, the coefficients of ABC3,AB & C2 in the balanced chemical equation will be 2, 2 & 3 respectively and the balanced chemical equation can be represented as : 2ABC32AB+3C2 Now answer the following question :

If the atomic masses of X and Y are 10 & 30 respectively, then the mass of XY3 formed when 120 g Y2 reacts completely with sufficient amount of X is : ReactionX+Y2XY3

A
133.3 g
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B
200 g
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C
266.6 g
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D
400 g
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Solution

The correct option is A 133.3 g
On applying POAC for X and Y respectively, we get
1×nX=1×nXY3 ...(3)
2×nY2=3×nXY3 ...(4)
by (3) & (4), nY2=1.5×nX
from (3) and (4)
nX2=nY23=nXY32
Balanced equation : 2X+3Y22XY3
nY2=12060 nXY3=43=1.333
mXY3=43×100=133.3g

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