Viscosity benchmark for water:\nAt room temperature, the viscosity of liquid water is closest to which unit value?

Difficulty: Easy

Correct Answer: 1 centipoise

Explanation:


Introduction / Context:
Viscosity benchmarks enable quick checks of rheological calculations and pump sizing. Engineers often memorize a few anchor values, and water at room temperature is the most important of these.


Given Data / Assumptions:

  • Room temperature ≈ 20–25°C.
  • Dynamic viscosity μ units: Pa·s, poise (P), centipoise (cP). Kinematic viscosity ν uses stokes (St) and is ν = μ/ρ.


Concept / Approach:
Water at ≈ 20°C has μ ≈ 1.0 mPa·s = 0.001 Pa·s. Since 1 P = 0.1 Pa·s and 1 cP = 0.001 Pa·s, water’s viscosity ≈ 1 cP. A poise (1 P) is 100× larger; a stoke (1 St) is a unit of kinematic viscosity, not dynamic.


Step-by-Step Solution:
Convert: 0.001 Pa·s → 1 cP (because 1 cP = 10^-3 Pa·s).Therefore, the closest standard value is 1 cP.


Verification / Alternative check:
At 20°C, tabulated μ_water ≈ 1.002 cP; at 25°C ≈ 0.89 cP. Both are of order unity in cP, confirming the benchmark.


Why Other Options Are Wrong:
1 P is too large; 1 St is not a dynamic viscosity; “both” mixes incompatible units; 10 cP corresponds to far more viscous liquids like light oils.


Common Pitfalls:
Confusing dynamic with kinematic viscosity and mixing poise with stoke without density conversion.


Final Answer:
1 centipoise

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