Difficulty: Easy
Correct Answer: mass density
Explanation:
Introduction / Context:
Fluid properties are often tabulated at standard temperature and pressure (STP). Knowing basic definitions avoids confusion when converting between related quantities used in hydraulics and thermodynamics.
Given Data / Assumptions:
Concept / Approach:
Mass density is the fundamental property ρ = m / V. Specific weight uses the gravitational conversion γ = ρ * g. Specific gravity is dimensionless: SG = ρ / ρ_ref (for liquids, commonly water at 4 °C). The question explicitly asks for “mass per unit volume,” which is mass density.
Step-by-Step Solution:
1) Identify the requested definition: mass per unit volume → ρ.2) Distinguish from γ: weight per unit volume = ρ * g.3) Distinguish from SG: ratio of ρ to a reference ρ_ref (dimensionless).4) Choose “mass density.”
Verification / Alternative check:
Dimensional consistency: ρ units are kg/m^3 (S.I.); γ units are N/m^3; SG has no units. This confirms that only “mass density” fits the statement exactly.
Why Other Options Are Wrong:
Common Pitfalls:
Using weight density data when a calculation requires mass density, leading to unit errors by a factor of g.
Final Answer:
mass density
Discussion & Comments