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Calculate the moisture content on a dry basis given the moisture content on a wet basis is 12%.

Chemistry

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Answer

13.64%13.64\%

Step-by-step solution

5 steps

My apologies, it seems there was a slight misunderstanding. I already solved Question 4 for you in the previous message.

Here is the solution again for Question 4:

Question 4: Calculate the moisture content on a dry basis.

Given:

  • Moisture Content (wet basis), MCw=12%MC_w = 12\%
  1. Convert the wet basis moisture content from percentage to a decimal.

    MCw=12%=0.12MC_w = 12\% = 0.12
  2. State the formula for converting moisture content from wet basis to dry basis.

    MCd=MCw1−MCwMC_d = \frac{MC_w}{1 - MC_w}
  3. Substitute the decimal value of MCwMC_w into the formula.

    MCd=0.121−0.12MC_d = \frac{0.12}{1 - 0.12} MCd=0.120.88MC_d = \frac{0.12}{0.88}
  4. Calculate the moisture content on a dry basis.

    MCd≈0.13636MC_d \approx 0.13636
  5. Convert the dry basis moisture content back to a percentage.

    MCd≈0.13636×100%MC_d \approx 0.13636 \times 100\% MCd≈13.64%MC_d \approx 13.64\%

    The moisture content on a dry basis is:

    13.64%\boxed{13.64\%}
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