Vaporization Heat and the Heat Capacity of H20 comparison

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Discussion Overview

The discussion revolves around the comparison of vaporization heat and heat capacity of water (H2O), specifically addressing the energy required to evaporate water at different temperatures and the implications for heating water to 100°C from 25°C. The scope includes theoretical and conceptual aspects of thermodynamics related to phase changes and heat transfer.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant notes that the heat needed for 1 mol of H2O to evaporate at 100°C is 40.7 kJ, while at 25°C it is 44.0 kJ, leading to a calculation suggesting that 3.7 kJ is required to heat H2O to 100°C from 25°C.
  • Another participant challenges this calculation, stating that to convert liquid water at 25°C to vapor at 100°C, one must heat the water and evaporate it or evaporate the water and heat the vapor, while also needing to do work to compress the vapor due to pressure differences.
  • A participant expresses confusion about the process of evaporating water at 25°C and heating it, questioning whether lowering the pressure is involved and what compression work is necessary.
  • Further clarification is provided that water can evaporate at all temperatures until the vapor reaches saturation, and that converting saturated vapor from 25°C to that at 100°C requires both heating and compression.

Areas of Agreement / Disagreement

Participants express differing views on the calculations and processes involved in heating and evaporating water, indicating that the discussion remains unresolved with multiple competing perspectives on the thermodynamic processes.

Contextual Notes

There are limitations in the assumptions made regarding the energy calculations and the need for work in compressing vapor, as well as the dependence on specific definitions of heat capacity and vaporization heat.

StarChem
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According to the Vaporization Heat table, the heat needed for 1 mol of H2O to evaporate at 100°C is 40.7KJ and 44.0KJ/mol is needed to evaporate H2O at 25°C. Thus 44.0-40.7=3.7KJ is the energy needed to heat H2O to 100°C from 25°C. However, according to the heat capacity of H2O, 3.7KJ will only warm the water by ~+48.6°C, which is not enough to reach 100°C starting from 25°C!

HEAT CAPACITY TABLE.jpg
HEAT OF VAPORIZATION.jpg
 
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StarChem said:
Thus 44.0-40.7=3.7KJ is the energy needed to heat H2O to 100°C from 25°C

Nope, doesn't follow. To convert liquid water at 25°C to vapor at 100°C you have to either heat water and evaporate it, or evaporate water and heat the vapor - plus you will need to do work compressing the vapor, as saturated vapor pressure at 25°C is much lower than 1 atm that you will get at 100°C.
 
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Thanks Borek for your reply.
I'm still confused though; how water can be evaporated at 25°C then heated, Is it by lowering the pressure? And what the compression work is needed for?
 
StarChem said:
how water can be evaporated at 25°C then heated
Water evaporates at all temperatures, till the vapor gets saturated. Then you heat up the vapor - not much different from heating up air.

To convert water vapor saturated at 25 °C (about 3.17 kPa) to water vapor saturated at 100 °C (101 kPa) you need to both heat the vapor up and compress it.
 
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