Thermodynamics: Water Properties

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SUMMARY

The discussion focuses on calculating the boiling temperature of water in pans of different depths using the linear approximation equation P=3.146T-211.87. It is established that water in a 3.7 cm deep pan boils at 98 degrees Celsius. The user attempts to solve for the boiling temperature in a 46.3 cm deep pan by relating pressure and density, specifically using the density of 1.043 gm/cm³. The key challenge identified is determining the change in pressure and its effect on boiling temperature.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically boiling point elevation.
  • Familiarity with linear equations and their applications in physics.
  • Knowledge of water properties, including density and pressure relationships.
  • Ability to manipulate and solve equations involving pressure and temperature.
NEXT STEPS
  • Research the relationship between pressure and boiling point in liquids.
  • Learn how to apply the hydrostatic pressure formula P=ρgh in thermodynamic contexts.
  • Explore the concept of boiling point elevation and its mathematical representation.
  • Investigate the properties of water at various temperatures and pressures using water properties tables.
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone interested in understanding the properties of water under varying pressure conditions.

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Homework Statement


Two pans filled with water. Water in a 3.7cm deep pan is observed to boil at 98 degrees celsius. At what temperature will the water in a 46.3cm deep pan boil?

Homework Equations


P=3.146T-211.87 (linear approximation)
Water properties table:
95°C 84.609kPa .001060 vf 1.9808vg
100°C 101.42kPa .001043vf 1.6720vg

The Attempt at a Solution


I set the linear approximation equal to the equation P=ρh so I have ρ(.037m)=3.146*98-211.87 to solve for density. Now I have density, but I am stuck. How can I find the temperature of boiling with only the density? I can find the reciprocal, ν, but how does that allude to the temperature?
 
Physics news on Phys.org
What is the change in pressure between 3.7 cm depth and 46.3 cm depth if the density is about 1.043 gm/cm^3?
 

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