Fluid properties – comparing dynamic viscosity At ordinary temperatures, the dynamic viscosity of water is __________ that of mercury.

Difficulty: Easy

Correct Answer: lower than

Explanation:


Introduction / Context:
Viscosity measures a fluid’s resistance to shear. Comparing fluids helps anticipate flow regimes and head losses. Water and mercury are common reference liquids with different molecular interactions and viscosities.



Given Data / Assumptions:

  • Room temperature conditions (around 20 °C).
  • Dynamic viscosity μ is considered (not kinematic).
  • Both liquids are pure and standard.


Concept / Approach:
At ~20 °C, water has μ ≈ 1 mPa·s, while mercury has μ ≈ 1.5–1.6 mPa·s. Hence, water is less viscous than mercury. Kinematic viscosity ν = μ/ρ would differ even more due to mercury’s very high density, but the question explicitly refers to viscosity (μ).



Step-by-Step Reasoning:

Identify property: dynamic viscosity μ (units Pa·s or N·s/m^2).Typical values: μ_water ≈ 1×10^-3 Pa·s; μ_mercury ≈ 1.5×10^-3 Pa·s (approx.).Compare: μ_water < μ_mercury ⇒ water is less viscous.


Verification / Alternative check:
Handbooks provide tabulated μ for common fluids; values confirm the same ordering across a reasonable temperature range near ambient.



Why Other Options Are Wrong:

  • Higher / same: contradict empirical data.
  • “Undefined because viscosity has no units”: incorrect; dynamic viscosity has SI units Pa·s.


Common Pitfalls:
Confusing dynamic viscosity with kinematic viscosity; mercury’s ν is smaller than water’s because of its very high density, but μ is larger.



Final Answer:
lower than

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