Question:
Two hypothetical organic waste streams A and B are mixed prior to the composting process. Waste-A has 2.16% of C and 1.20% of N. Waste-B has 19.10% of C and 0.14% of N. The quantity of Waste-B that should be mixed with per kg of Waste-A to achieve the desired C:N ratio of 25 is ________ kg (rounded off to 2 decimal places). Assume both the waste streams are completely dry.
Two hypothetical organic waste streams A and B are mixed prior to the composting process. Waste-A has 2.16% of C and 1.20% of N. Waste-B has 19.10% of C and 0.14% of N. The quantity of Waste-B that should be mixed with per kg of Waste-A to achieve the desired C:N ratio of 25 is ________ kg (rounded off to 2 decimal places). Assume both the waste streams are completely dry.
Updated On: Jan 24, 2025
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Correct Answer: 1
Solution and Explanation
Calculate the amount of Waste-B needed to achieve a C:N ratio of 25 when mixed with Waste-A:
\[
\frac{0.0216 + 0.1910x}{0.0120 + 0.0014x} = 25
\]
\[
0.1910x - 0.0350x = 0.3000 - 0.0216
\]
\[
x = \frac{0.2784}{0.1560} \approx 1.79 \, \text{kg}
\]
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