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100 mL of 0.6 M acetic acid is shaken with 2 g activated carbon. The final concentration of the solution after adsorption is 0.5 M. What is the amount of acetic acid adsorbed per gram of carbon.
    Correct answer is '0.3'. Can you explain this answer?
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    100 mL of 0.6 M acetic acid is shaken with 2 g activated carbon. The f...
    Solution:

    Given:

    Initial concentration of acetic acid = 0.6 M
    Volume of acetic acid = 100 mL = 0.1 L
    Mass of activated carbon = 2 g
    Final concentration of acetic acid = 0.5 M

    To find: Amount of acetic acid adsorbed per gram of carbon

    Step 1: Calculate the initial moles of acetic acid

    Molarity = Number of moles / Volume

    Number of moles = Molarity x Volume

    Number of moles of acetic acid initially = 0.6 x 0.1 = 0.06 moles

    Step 2: Calculate the final moles of acetic acid

    The final volume of the solution is not given, but we know that the final concentration is 0.5 M.

    Molarity = Number of moles / Volume

    Number of moles = Molarity x Volume

    Let the final volume of the solution be V.

    Number of moles of acetic acid after adsorption = 0.5 x V

    Step 3: Calculate the amount of acetic acid adsorbed

    Amount of acetic acid adsorbed = Initial moles - Final moles

    Amount of acetic acid adsorbed = 0.06 - 0.5V

    Step 4: Calculate the amount of acetic acid adsorbed per gram of carbon

    Amount of acetic acid adsorbed per gram of carbon = Amount of acetic acid adsorbed / Mass of activated carbon

    Amount of acetic acid adsorbed per gram of carbon = (0.06 - 0.5V) / 2

    Step 5: Use the final concentration to find V

    Molarity = Number of moles / Volume

    0.5 = (0.06 - 0.5V) / V

    V = 0.12 L

    Step 6: Substitute V in the equation for amount of acetic acid adsorbed per gram of carbon

    Amount of acetic acid adsorbed per gram of carbon = (0.06 - 0.5 x 0.12) / 2 = 0.03

    Therefore, the amount of acetic acid adsorbed per gram of carbon is 0.03 or 0.3 g/g.
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    100 mL of 0.6 M acetic acid is shaken with 2 g activated carbon. The final concentration of the solution after adsorption is 0.5 M. What is the amount of acetic acid adsorbed per gram of carbon.Correct answer is '0.3'. Can you explain this answer?
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