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Some Basic Concepts Of Chemistry

Question
CBSEENCH11005070

Balance the following equations by partial equation methods:

 left parenthesis straight i right parenthesis space Hg plus HNO subscript 3 space rightwards arrow space Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 plus NO plus straight H subscript 2 straight O

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Solution
left parenthesis straight i right parenthesis space 2 HNO subscript 3 space rightwards arrow space space straight H subscript 2 straight O plus space 2 NO subscript 2 plus 3 straight O
                                                       ...(1)
     2 Hg space plus straight O space rightwards arrow space space space space Hg subscript 2 straight O                    ...(2)
Hg subscript 2 straight O plus 2 HNO subscript 3 space rightwards arrow space space Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 plus straight H subscript 2 straight O space space space... left parenthesis 3 right parenthesis
Multiply equations (2) and (3) by 3 and add all the three equations.
                   2 HNO subscript 3 space space rightwards arrow space space space straight H subscript 2 straight O plus space 2 NO subscript 2 plus space 3 straight O
space space open square brackets 2 Hg space plus straight O space space rightwards arrow space space space space Hg subscript 2 straight O close square brackets cross times 3
left square bracket Hg subscript 2 straight O space plus space 2 HNO subscript 3 space rightwards arrow space space space Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 plus straight H subscript 2 straight O right square bracket space cross times space 3
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6 Hg plus space 8 HNO subscript 3 space rightwards arrow space 3 Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 space plus space 4 straight H subscript 2 straight O plus 2 NO
(ii) straight K subscript 2 Cr subscript 2 straight O subscript 7 plus 4 straight H subscript 2 SO subscript 4 space rightwards arrow space space straight K subscript 2 SO subscript 4 space plus Cr subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus 4 straight H subscript 2 straight O plus space 3 left square bracket straight O right square bracket space space space... left parenthesis 1 right parenthesis
    SO subscript 2 plus straight O subscript 2 plus straight H subscript 2 straight O space rightwards arrow space straight H subscript 2 SO subscript 4                       ...(2)
Multiplying equation (2) by 3 and add the two equations
straight K subscript 2 Cr subscript 2 straight O subscript 7 plus 4 straight H subscript 2 SO subscript 4 space rightwards arrow space space space straight K subscript 2 SO subscript 4 plus space Cr subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 space plus 4 straight H subscript 2 straight O space plus 3 left square bracket straight O right square bracket
SO subscript 2 plus straight O plus straight H subscript 2 straight O space rightwards arrow space space straight H subscript 2 SO subscript 4 right square bracket space cross times space 3
_____________________________________________
straight K subscript 2 Cr subscript 2 straight O subscript 7 plus straight H subscript 2 SO subscript 4 plus 3 SO subscript 2 space rightwards arrow space space space space straight K subscript 2 SO subscript 4 space plus Cr subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus straight H subscript 2 straight O