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3 August, 04:27

A molecule of ethyl alcohol is converted to acetaldehyde in one's body by zero order kinetics. If the concentration of alcohol is 0.015 mol/L and the rate constant = 6.4 x 10-5 mol/L•min, what is the concentration of alcohol after 3.5 hours? (1) 0.0016 mol/L (2) 9.6 x 107 mol/L (3) 4.3 x 10-3 mol/L (4) 0.15 mol/L (5) 0.0032 mol/L

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  1. 3 August, 04:45
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    (1) 0.0016 mol/L

    Explanation:

    Let the concentration of alcohol after 3.5 hours be y M

    The reaction follows a first-order

    Rate = ky^0 = change in concentration/time

    k = 6.4*10^-5 mol/L. min

    Initial concentration = 0.015 M

    Concentration after 3.5 hours = y M

    Time = 3.5 hours = 3.5*60 = 210 min

    6.4*10^-5y^0 = 0.015-y/210

    y^0 = 1

    0.015-y = 6.4*10^-5 * 210

    0.015-y = 0.01344

    y = 0.015 - 0.01344 = 0.00156 = 0.0016 mol/L (to 4 decimal places)
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