Vaporization Heat and the Heat Capacity of H20 comparison

AI Thread Summary
The discussion centers on the energy requirements for converting water from liquid at 25°C to vapor at 100°C. It highlights that 44.0 kJ/mol is needed for evaporation at 25°C, while only 40.7 kJ/mol is required at 100°C, leading to confusion about the energy needed to heat water to 100°C. The calculations reveal that 3.7 kJ is insufficient to raise the temperature of water from 25°C to 100°C. The conversation clarifies that to achieve this conversion, water must be heated and evaporated, or the vapor must be heated after evaporation. Additionally, it notes that compressing the vapor is necessary because the saturated vapor pressure at 25°C is significantly lower than at 100°C, requiring both heating and compression to transition the vapor properly.
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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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