a sample of concrete coarse aggregate has a dry weight of 602.7 g and wet weight of 703.8 g if we calculated its absorption to be 1.21% what is the weight of the free moisture

To find the weight of the **free moisture**, we can follow these steps:

1. **Determine the absorption weight** using the absorption percentage.
   - The **absorption** is the amount of water the aggregate can absorb, expressed as a percentage of its dry weight.
   - Absorption weight \( W_{\text{abs}} \) is calculated by:
   \[
   W_{\text{abs}} = \frac{\text{Absorption percentage}}{100} \times W_{\text{dry}}
   \]
   where \( W_{\text{dry}} \) is the dry weight.

2. **Subtract the absorption weight from the difference between wet weight and dry weight** to calculate **free moisture**.

Let’s calculate:

- **Given**:  
  - Dry weight \( W_{\text{dry}} = 602.7 \, \text{g} \)  
  - Wet weight \( W_{\text{wet}} = 703.8 \, \text{g} \)  
  - Absorption \( A = 1.21\% \)

### Step 1: Calculate the absorption weight
\[
W_{\text{abs}} = \frac{1.21}{100} \times 602.7 = 7.2947 \, \text{g}
\]

### Step 2: Calculate the free moisture
The total moisture is the difference between the wet and dry weights:
\[
W_{\text{moisture}} = W_{\text{wet}} - W_{\text{dry}} = 703.8 - 602.7 = 101.1 \, \text{g}
\]

Now, subtract the absorption weight to find the **free moisture**:
\[
\text{Free moisture} = W_{\text{moisture}} - W_{\text{abs}} = 101.1 - 7.2947 = 93.8053 \, \text{g}
\]

Thus, the weight of the free moisture is approximately **93.81 g**.

Would you like any further details?

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Here are 5 related questions to explore:
1. How do you calculate the total moisture content of aggregates?
2. What is the importance of absorption capacity in concrete mix design?
3. How does free moisture affect the workability of concrete?
4. How do you determine the specific gravity of coarse aggregates?
5. What is the difference between saturated surface dry (SSD) and dry aggregates?

**Tip**: Free moisture in aggregates contributes to the total water content in concrete, so adjust the water-to-cement ratio accordingly to maintain proper strength.

A sample of concrete coarse aggregate has a dry weight of 602.7 g and wet weight of 703.8 g. If we calculated its absorption to be 1.21%, what is the weight of the free moisture?

Learn how to calculate the free moisture in a sample of concrete coarse aggregate using absorption percentage. Given a dry weight of 602.7 g, wet weight of 703.8 g, and absorption of 1.21%, find the free moisture weight with detailed formulas and steps. Suitable for students in Grades 9-12.

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