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Calculate the current in Amperes if 36.0 g of a substance with an electrochemical equivalent of 0.0012 g/C is deposited in 5.0 minutes.

Physics

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Answer

100 A\text{100 A}

Step-by-step solution

4 steps
  1. Convert the time from minutes to seconds.

    Given time t=5.0 minutest = 5.0 \, \text{minutes}.

    t=5.0 minutes×60 seconds1 minute=300 st = 5.0 \, \text{minutes} \times \frac{60 \, \text{seconds}}{1 \, \text{minute}} = 300 \, \text{s}
  2. Use the formula relating mass deposited, electrochemical equivalent, current, and time.

    The mass (mm) of a substance deposited during electrolysis is given by:

    m=Z×I×tm = Z \times I \times t

    where:

    • mm is the mass deposited
    • ZZ is the electrochemical equivalent
    • II is the current
    • tt is the time
  3. Rearrange the formula to solve for the current (II).

    I=mZ×tI = \frac{m}{Z \times t}
  4. Substitute the given values into the formula.

    Given:

    • m=36.0 gm = 36.0 \, \text{g}
    • Z=0.0012 g/CZ = 0.0012 \, \text{g/C}
    • t=300 st = 300 \, \text{s}
    I=36.0 g0.0012 g/C×300 sI = \frac{36.0 \, \text{g}}{0.0012 \, \text{g/C} \times 300 \, \text{s}} I=36.00.36 AI = \frac{36.0}{0.36} \, \text{A} I=100 AI = 100 \, \text{A}

    The current must be 100 A\text{100 A}.

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