How Ca + HNO3 => Ca (NO3) 2 + N2O + H2O ?

Can anyone explain me how to get this?

4Ca + 10HNO3 = 4Ca (NO3) 2 + N2O + 5H2O

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  • 7 years ago
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    Ca + HNO3 → Ca(NO3)2 + N2O + H2O

    The only practical way I see is to use simultaneous equations.

    Start by assigning algebraic variables to each species:

    a Ca + b HNO3 → c Ca(NO3)2 + d N2O + e H2O

    Write a balanced equation for each element:

    Ca: a = c

    H: b = 2e

    N: b = 2c + 2d

    O: 3b = 6c + d + e

    Solve these four equations simultaneously in terms of a, using whatever algebraic method you prefer:

    a = a and b = (5a)/2 and c = a and d = a/4 and e = (5a)/4

    Substitute these values in a into the original equation:

    a Ca + (5a)/2 HNO3 → a Ca(NO3)2 + a/4 N2O + (5a)/4 H2O

    Multiply each coefficient by 4/a to eliminate the fractions and the single remaining variable a:

    4 Ca + 10 HNO3 → 4 Ca(NO3)2 + N2O + 5 H2O

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