200 g of calcium carbonate completely reacted with dilute HCL in 2 minute.What is the rate of reaction in mol min⁻¹

Chemistry

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Answer

The rate of reaction is 1 mol min⁻¹.

Step-by-step solution

4 steps

Here's how to calculate it:

  1. Calculate the molar mass of calcium carbonate (CaCO₃)

    • Ca: 40.08 g/mol
    • C: 12.01 g/mol
    • O: 3 * 16.00 g/mol = 48.00 g/mol
    • Molar mass of CaCO₃ = 40.08 + 12.01 + 48.00 = 100.09 g/mol
  2. Calculate the number of moles of calcium carbonate

    • Moles = Mass / Molar mass
    • Moles of CaCO₃ = 200 g / 100.09 g/mol = 1.9982 mol
  3. Calculate the rate of reaction

    • Rate = Moles of reactant consumed / Time
    • Rate = 1.9982 mol / 2 min = 0.9991 mol min⁻¹
  4. Apply significant figures

    • The mass (200 g) has three significant figures.
    • The time (2 minute) has one significant figure.
    • The final answer should be rounded to the least number of significant figures, which is one.
    • 0.9991 mol min⁻¹ rounded to one significant figure is 1 mol min⁻¹.
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