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16 February, 18:56

Balance the equation? al2 (so4) 3+? naoh →? al (oh) 3+? na2so4, using the smallest possible integers. what is the sum of the coefficients in the balanced equation?

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  1. 16 February, 20:42
    0
    To balance an equation, you need to find element that was not spread, in this problem it was Al and Na. You can split the equation into

    ? naoh →? na2so4

    ? al2 (so4) 3 + →? al (oh) 3

    There is two Na on na2so4, so to balance it you need two NaOH

    2 naoh → 1 na2so4

    ? al2 (so4) 3 + →? al (oh) 3

    There is two Al in al2 (so4) 3 and one Al on al (oh) 3, so you need twice amount al (oh) 3 to balance the equation.

    2 naoh → 1 na2so4

    1 al2 (so4) 3 + → 2 al (oh) 3

    In the equation above, there is 3 SO4 on reactant but 1 SO4 on the product, so multiply the naoh and na2so4 with 3

    6 naoh → 3 na2so4

    1 al2 (so4) 3 + → 2 al (oh) 3

    The final equation would be:

    1 al2 (so4) 3 + 6 naoh → 2 al (oh) 3 + 3 na2so4

    The sum of the coefficient would be: 1+6+2+3=12
  2. 16 February, 21:42
    0
    Answer: 12

    Justification:

    1) To balance the atoms you can start by Al:

    Since there are 2 Al on the left side, add a 2 coefficient in front to Al (OH) ₃

    That will lead to this transitorye equation:

    Al₂ (SO₄) ₃ + ? NaOH → 2 Al (OH) ₃ + ? Na₂SO₄

    2) To balance the three SO₄ radicals on the left, add a 3 in front to Na₂SO₄ on the right, leading to:

    Al₂ (SO₄) ₃ + ? NaOH → 2 Al (OH) ₃ + 3 Na₂SO₄

    3) To balance the six Na atoms on the right, add a 3 in front to NaOH on the left, leading to

    Al₂ (SO₄) ₃ + 6NaOH → 2 Al (OH) ₃ + 3 Na₂SO₄

    4) Check that all the species are balanced:

    Al: 2 on the left and 2 on the right

    SO₄: 3 on the left and 3 on the right

    Na: 6 on the left and 6 on the right

    OH: 6 on the left and 6 on the right.

    Then, the equation is balanced.

    5) The sum of the coefficients is 1 + 6 = 7 in the left and 2 + 3 = 5 on the right. Total 7 + 5 = 12.
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