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Answer :
Final answer:
To ensure the concrete mix has correct proportions, the masses of gravel and sand are adjusted for their moisture and absorption rates. The adjusted masses are 1,197.83 kg/m3 for gravel and 593.68 kg/m3 for sand. The free water is adjusted to 150.45 kg/m3 to account for absorption.
Explanation:
To solve this problem, we will calculate the adjusted masses of gravel, sand, and water to account for their moisture content and absorption rates before use in the concrete mix. The goal is to ensure that the concrete mix has the correct proportions of each component for strength and durability once cured.
Adjusted Mass of Gravel
Moisture content in the gravel is 0.8%, which means that for every 100 kg of gravel, there is 0.8 kg of water. Additionally, the gravel has an absorption of 1.5%, so it can absorb 1.5 kg of water for every 100 kg of dry gravel. The dry requirement for gravel is 1173 kg/m3. Therefore, to accommodate the moisture already present and the water that will be absorbed, the mass of gravel must be increased.
Adjusted mass of gravel = 1173 kg + (1173 kg * 0.8%) + (1173 kg * 1.5%) = 1,197.83 kg/m3.
Adjusted Mass of Sand
The moisture content in the sand is 1.1%, and its absorption rate is 1.3%. For the dry requirement of 582 kg/m3 for sand, we adjust for both the moisture present and the water it can absorb.
Adjusted mass of sand = 582 kg + (582 kg * 1.1%) + (582 kg * 1.3%) = 593.68 kg/m3.
Adjusted Mass of Water
The free water requirement is 157 kg/m3. However, the absorption by both the gravel and sand must be accounted for, as this water will not contribute to the mix's moisture level.
Adjusted free water = 157 kg - (1173 kg * 1.5%) - (582 kg * 1.3%) = 150.45 kg/m3.
By adjusting the amounts of gravel, sand, and water based on their moisture content and absorption rates, we ensure that the concrete mix achieves the desired properties.
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