?Very pure liquid water can be subcooled at atmospheric pressure to temperatures well

Chapter 6, Problem 6.17

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Very pure liquid water can be subcooled at atmospheric pressure to temperatures well below 0°C. Assume that 1 kg has been cooled as a liquid to −6°C. A small ice crystal (of negligible mass) is added to “seed” the subcooled liquid. If the subsequent change occurs adiabatically at atmospheric pressure, what fraction of the system freezes, and what is the final temperature? What is \(ΔS_{total}\) for the process, and what is its irreversible feature? The latent heat of fusion of water at 0°C is \(333.4 J \cdot g^{−1}\), and the specific heat of subcooled liquid water is \(4.226 J \cdot g^{−1} \cdot °C^{−1}\).

Text Transcription:

ΔS_total

333.4 J dot g^−1

4.226 J dot g^−1 dot °C^−1