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Which of the following Ka values represents the weakest acid?A.Ka = 1.82 10−1B.Ka = 1.29 10−4C.Ka = 1.62 10−12D.Ka = 3.24 10−7

Question

Which of the following Ka values represents the weakest acid?

A. Ka = 1.82 101 10^{-1}
B. Ka = 1.29 104 10^{-4}
C. Ka = 1.62 1012 10^{-12}
D. Ka = 3.24 107 10^{-7}

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Solution

To determine which of the given Ka values represents the weakest acid, we need to understand that a smaller Ka value indicates a weaker acid.

1. ### Break Down the Problem

  • We are given four different Ka values.
  • We need to compare them to identify which one is the smallest.

2. ### Relevant Concepts

  • The acid dissociation constant (Ka) measures the strength of an acid in solution.
  • A lower Ka value means the acid is weaker and dissociates less in solution.

3. ### Analysis and Detail

  • The given Ka values are:
    • A. Ka=1.82×101 K_a = 1.82 \times 10^{-1}
    • B. Ka=1.29×104 K_a = 1.29 \times 10^{-4}
    • C. Ka=1.62×1012 K_a = 1.62 \times 10^{-12}
    • D. Ka=3.24×107 K_a = 3.24 \times 10^{-7}

We can compare these values directly:

  • 1.82×101=0.182 1.82 \times 10^{-1} = 0.182
  • 1.29×104=0.000129 1.29 \times 10^{-4} = 0.000129
  • 1.62×1012=0.00000000000162 1.62 \times 10^{-12} = 0.00000000000162
  • 3.24×107=0.000000324 3.24 \times 10^{-7} = 0.000000324

4. ### Verify and Summarize

  • The smallest value among these is 1.62×1012 1.62 \times 10^{-12} , indicating that this corresponds to the weakest acid.

Final Answer

The weakest acid is represented by C. Ka=1.62×1012 K_a = 1.62 \times 10^{-12} .

This problem has been solved

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