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21 January, 08:28

You have a powder that dissolves in water to form a strong acid. You dissolve 2g of the powder in 100ml of water, and measure the pH to be 4. You would like to form 100ml of a solution with pH 5. How many grams of the powder do you dissolve in 100ml of water?

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  1. 21 January, 11:45
    0
    The mass of the powder to dissolve in 100ml of water to form a solution with pH 5 is 0.2 g

    Explanation:

    pH = - Log [H⁺]

    when the pH of the solution = 4,

    the concentration is calculated as follows

    10⁻⁴ = [H⁺] = 1 X 10⁻⁴ M/L

    when the pH of the solution = 5,

    10⁻⁵ = [H⁺] = 1 X 10⁻⁵ M/L

    Also concentration, = number of moles/liters of solution

    number of moles = Reacting mass (Rm) / Molar mass

    Concentration is directly proportional to reacting mass

    Thus, C₁/Rm₁ = C₂/Rm₂

    Rm₂ = (C₂Rm₁) / C₁

    Rm₂ = (1 X 10⁻⁵ * 2g) / (1 X 10⁻⁴)

    Rm₂ = 0.2 g

    Therefore, the mass of the powder to dissolve in 100ml of water to form a solution with pH 5 is 0.2 g
  2. 21 January, 11:46
    0
    0.2 g

    Explanation:

    pH = - log (H⁺)

    If the pH is 4 then

    4 = - log (H⁺)

    10⁴ = (H⁺) ⁻¹

    (H⁺) = 1 / 10⁴ = 0.0001 M

    for pH 5

    5 = - log (H⁺)

    (H⁺) = 1 / 10⁵ = 0.00001 M

    if 2 g in 100ml yielded 0.0001 M

    then x g in 100 ml yielded 0.00001 = 2 * 0.00001 / 0.0001 = 0.2 g
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