an aggregate sample has a moisture content of 7.35% and absorption of 1.07% if the saturated surface dry weight is 5682 lbs, what is the weight of the free moisture

To determine the weight of the free moisture in the aggregate sample, we need to understand the relationship between the moisture content and the absorption capacity of the aggregate.

### Formula for Free Moisture:
Free Moisture (%) = Total Moisture Content (%) - Absorption (%)

Free moisture represents the water content in the aggregate that is beyond its absorption capacity (the water it can absorb into its pores). Any additional water beyond that is free moisture.

Using the given dataTo determine the weight of the free moisture in the aggregate sample, we need to understand the relationship between the moisture content and the absorption capacity of the aggregate.

### Formula for Free Moisture:
Free Moisture (%) = Total Moisture Content (%) - Absorption (%)

Free moisture represents the water content in the aggregate that is beyond its absorption capacity (the water it can absorb into its pores). Any additional water beyond that is free moisture.

Using the given 
- **Moisture Content (MC)** = 7.35%
- **Absorption (A)** = 1.07%
- **Saturated Surface Dry (SSD) weight** = 5682 lbs

Now, we calculate the free moisture:
\[
\text{Free Moisture (%) = MC - A = 7.35\% - 1.07\% = 6.28\%}
\]

### Step 2: Calculate the weight of the free moisture
Free Moisture Weight (lbs) = Free Moisture (%) × SSD Weight

\[
\text{Free Moisture Weight} = \frac{6.28}{100} \times 5682 = 356.82 \, \text{lbs}
\]

So, the weight of the free moisture is **356.82 lbs**.

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Would you like further clarification on any of the steps?

Here are 5 related questions you might find interesting:
1. What is the importance of understanding free moisture in aggregate for construction projects?
2. How does absorption capacity vary with different types of aggregate?
3. What is the difference between saturated surface dry (SSD) and oven-dry aggregates?
4. How does excessive moisture content affect concrete mix design?
5. How can you accurately measure the moisture content in an aggregate sample?

**Tip:** When calculating free moisture, always ensure the difference between moisture content and absorption is used to avoid overestimating water in a mix.

An aggregate sample has a moisture content of 7.35% and absorption of 1.07%. If the saturated surface dry weight is 5682 lbs, what is the weight of the free moisture?

Learn how to calculate the weight of free moisture in an aggregate sample with a moisture content of 7.35% and absorption of 1.07%. Using a saturated surface dry weight of 5682 lbs, this problem demonstrates key concepts in percentage calculations and weight determination. Suitable for students in Grades 10-12.

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