At approximately 20 °C and near-atmospheric pressure, the thermal conductivity of liquid water is about how large? Evaluate the truth of the statement: “It is about 0.51 (W/m·K).”

Difficulty: Easy

Correct Answer: False

Explanation:


Introduction / Context:
Accurate property data for water underpin many HVAC and heat-transfer calculations. Thermal conductivity dictates conductive heat flux through liquids and influences convective heat transfer coefficients through dimensionless groups like Prandtl number.


Given Data / Assumptions:

  • Temperature near 20 °C (room temperature).
  • Pressure near 1 atm.
  • Liquid water with typical purity.


Concept / Approach:
Standard property tables report the thermal conductivity of liquid water at 20–25 °C in the range of roughly 0.58 to 0.60 W/m·K (commonly cited ~0.598 W/m·K at 25 °C and ~0.59 W/m·K at 20 °C). Therefore, a value of 0.51 W/m·K is significantly lower than accepted reference values, making the given statement false for typical conditions.


Step-by-Step Reasoning:

1) Identify typical reference: k_water(20–25 °C) ≈ 0.58–0.60 W/m·K.2) Compare proposed value: 0.51 W/m·K is below this range by ~12–15%.3) Conclude: For standard conditions, 0.51 W/m·K understates k; the statement is false.4) Note: k varies modestly with temperature; even then, values near 0.51 W/m·K are not representative at 20 °C.


Verification / Alternative check:
Consult engineering property tables or reliable databases; they consistently list ~0.6 W/m·K for liquid water around room temperature.


Why Other Options Are Wrong:

  • (a) True is incorrect because the value is too low.
  • (c) Pressure effects at near-ambient conditions do not justify 0.51 W/m·K.
  • (d) Ice water (solid–liquid mixture) is a different phase consideration; the liquid’s k remains near published values.
  • (e) Salinity changes k slightly but not enough here.


Common Pitfalls:
Using an outdated or misprinted table; always check units (W/m·K) and ensure the property is for liquid, not vapor.


Final Answer:
False

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