Perfect Ratio for Solidifying Water: Liquid Nitro vs Water | Simplified Equation

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SUMMARY

The optimal ratio of liquid nitrogen (LN2) to water for total solidification at room temperature (RTP) is not fixed and depends on specific experimental conditions. The discussion emphasizes the importance of calculating the latent heats and the average heat capacity of LN2 from 77K to 273K. The principle of energy conservation is crucial, where the heat lost by water during cooling and solidification must equal the heat gained by LN2 during boiling and warming. This relationship is contingent upon maintaining thermal contact between the LN2 and water.

PREREQUISITES
  • Understanding of latent heat and heat capacity concepts
  • Familiarity with liquid nitrogen properties and behavior
  • Basic principles of thermodynamics and energy conservation
  • Knowledge of experimental conditions affecting thermal contact
NEXT STEPS
  • Calculate the latent heat of liquid nitrogen from 77K to 273K
  • Research the heat capacity of liquid nitrogen and its implications
  • Explore energy conservation equations in phase change scenarios
  • Investigate experimental setups for measuring thermal contact efficiency
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Students in physics or chemistry, researchers in thermodynamics, and professionals involved in cryogenics or material science will benefit from this discussion.

mtanti
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What ratio of liquid nitrogen to water must there be for total solidification of water (@ RTP)? If there is no static ratio a simplified equation would be nice...
10x!
 
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This is a simple energy conservation problem, and might even be homework.

Find the latent heats and the (average/integrated) heat capacity of LN2 from 77K to 273K and use the fact that, under ideal conditions, heat lost by water during cooling and solidification equals the heat gained by LN2 during boiling and warming up (assuming there is still thermal contact between the cold gas and the water - this is unknown as the experimental conditions remain unspecified; else ignore the warming term).
 

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