Definition of water–cement ratio — choose the correct expression In concrete technology, how is the water–cement ratio (w/c) defined?
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AVolume of water to volume of cement
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BWeight of water to weight of cement
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CWeight of concrete to weight of water
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DVolume of concrete to volume of water
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EBoth (a) and (b)
Answer
Correct Answer: Weight of water to weight of cement
Explanation
Introduction / Context:Water–cement ratio (w/c) is a foundational parameter controlling the porosity of the hardened cement paste, and thus strength and durability. Precise definition is essential for calculations and quality control.
Given Data / Assumptions:
- Conventional practice defines w/c on a mass (weight) basis.
- Batching by mass is assumed for accuracy.
Concept / Approach:The standard definition is w/c = mass of water divided by mass of cement. Volume-based ratios are sometimes discussed conceptually but are not the standard definition used in design or specification, because densities vary with temperature and entrained air, making mass-based control more reliable.
Step-by-Step Solution:
Identify standard control variable: mass-based w/c.Select option (b) as the correct definition.Verification / Alternative check:Codes, mix-design methods, and batching systems all specify w/c by weight (e.g., 0.45, 0.50).
Why Other Options Are Wrong:
- Volume ratios are not the standard definition and can be misleading.
- Options (c) and (d) do not define w/c at all.
- Option (e) is incorrect because only the mass-based definition is standard.
Common Pitfalls:Confusing water–cement ratio with total water content per cubic metre; not accounting for aggregate moisture when calculating effective water.
Final Answer:Weight of water to weight of cement