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Solve for Ca in the equation: (Ca 32.76) / (0.1 25) = 1/2. Round to four significant figures.

Mathematics

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Answer

0.03816\mathbf{0.03816}

Step-by-step solution

5 steps
  1. Start with the given equation.

    Ca×32.760.1×25=12\frac{Ca \times 32.76}{0.1 \times 25} = \frac{1}{2}
  2. Simplify the denominator on the left side of the equation.

    0.1×25=2.50.1 \times 25 = 2.5

    Substitute this value back into the equation:

    Ca×32.762.5=12\frac{Ca \times 32.76}{2.5} = \frac{1}{2}
  3. Cross-multiply to begin solving for CaCa.

    Multiply both sides by 2.5 and by 2:

    2×(Ca×32.76)=1×2.52 \times (Ca \times 32.76) = 1 \times 2.5 Ca×(2×32.76)=2.5Ca \times (2 \times 32.76) = 2.5 Ca×65.52=2.5Ca \times 65.52 = 2.5
  4. Isolate CaCa by dividing both sides by 65.52.

    Ca=2.565.52Ca = \frac{2.5}{65.52}
  5. Calculate the final value of CaCa.

    Ca≈0.038156288Ca \approx 0.038156288

    Rounding to four significant figures:

    Ca≈0.03816Ca \approx 0.03816

    The value of CaCa is:

    0.03816\mathbf{0.03816}
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