(a) Potassium chloride crystals of 1.1 mm average size are to be produced at a rate of 800 kg per batch in an evaporative crystallizer operating under vacuum at 40°C. The batch crystallizer is initially filled with a saturated solution of KCl at 80°C and 0.308 kg of seed crystals having a single size (L) of 80 μm. The density of the crystals is 1990 kg/m³. A coolant is passed through the coil in the stirred crystallization tank. The solubility of KCI is approximately linear in temperature, C. = 287 +2.820 kg/m³ where is the temperature in °C. The average density of the saturated solution, p = 1280 kg/m³. The final temperature is 40 °C, and the average rate of crystal growth is G = 3.5 × 10-8 m/s. Calculate the crystallizer volume if the vessel is 60% full initially. [10 marks]

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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(a) Potassium chloride crystals of 1.1 mm average size are to be produced at a rate of 800 kg per batch
in an evaporative crystallizer operating under vacuum at 40°C. The batch crystallizer is initially filled
with a saturated solution of KCl at 80°C and 0.308 kg of seed crystals having a single size (L) of 80 μm.
The density of the crystals is 1990 kg/m³. A coolant is passed through the coil in the stirred crystallization
tank. The solubility of KCI is approximately linear in temperature, C. = 287 +2.820 kg/m³ where is
the temperature in °C. The average density of the saturated solution, p = 1280 kg/m³. The final
temperature is 40 °C, and the average rate of crystal growth is G = 3.5 × 10-8 m/s. Calculate the
crystallizer volume if the vessel is 60% full initially.
[10 marks]
Transcribed Image Text:(a) Potassium chloride crystals of 1.1 mm average size are to be produced at a rate of 800 kg per batch in an evaporative crystallizer operating under vacuum at 40°C. The batch crystallizer is initially filled with a saturated solution of KCl at 80°C and 0.308 kg of seed crystals having a single size (L) of 80 μm. The density of the crystals is 1990 kg/m³. A coolant is passed through the coil in the stirred crystallization tank. The solubility of KCI is approximately linear in temperature, C. = 287 +2.820 kg/m³ where is the temperature in °C. The average density of the saturated solution, p = 1280 kg/m³. The final temperature is 40 °C, and the average rate of crystal growth is G = 3.5 × 10-8 m/s. Calculate the crystallizer volume if the vessel is 60% full initially. [10 marks]
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