Question:
If moisture regain of polyester and cotton is 0.4 % and 8.5 %, respectively, then moisture regain (%) of 70:30 polyester-cotton blend (correct up to 2 decimal places) is ________________.
If moisture regain of polyester and cotton is 0.4 % and 8.5 %, respectively, then moisture regain (%) of 70:30 polyester-cotton blend (correct up to 2 decimal places) is ________________.
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For calculating the moisture regain of a blend, multiply the moisture regain of each component by its fraction in the blend and then add the results.
Updated On: Dec 2, 2025
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Correct Answer: 2.66
Solution and Explanation
The moisture regain of the blend is calculated as the weighted average of the moisture regain of polyester and cotton:
\[
\text{Moisture regain of blend} = (0.7 \times \text{Moisture regain of polyester}) + (0.3 \times \text{Moisture regain of cotton}).
\]
Substitute the given values:
\[
\text{Moisture regain of blend} = (0.7 \times 0.4) + (0.3 \times 8.5) = 0.28 + 2.55 = 2.83 \, %.
\]
Final Answer:
\[
\boxed{2.83}.
\]
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