9.1. An ice crystal in the form of a thin hexagonal plate grows by diffusion in an environment saturated with respect to water at a temperature of -4°C and a pressure of 80 kPa. Determine the time required for it to grow to a diameter of 1 mm, starting from a mass of 10-8 g. Take the capacity (capacitance, C) to be that of the circumscribing disk. Assume that the mass and the diameter of the plate are related by m = 1.9 X 10-2D³, with mass in g and D in cm. Neglect ventilation effects. If diameter and fall speed are related by u = KD; where K = 520 s-1, determine the distance the crystal falls during the growth to 1mm diameter.

9.1. An ice crystal in the form of a thin hexagonal plate grows by diffusion in an environment saturated with respect to water at a temperature of -4°C and a pressure of 80 kPa. Determine the time required for it to grow to a diameter of 1 mm, starting from a mass of 10-8 g. Take the capacity (capacitance, C) to be that of the circumscribing disk. Assume that the mass and the diameter of the plate are related by m = 1.9 X 10-2D³, with mass in g and D in cm. Neglect ventilation effects. If diameter and fall speed are related by u = KD; where K = 520 s-1, determine the distance the crystal falls during the growth to 1mm diameter.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Concept explainers

Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substance as long as the chemical composition is the same for all phases. These substances mainly have a constant/ uniform composition. The substances also have fixed boiling and melting points. A pure substance takes part in a chemical reaction to form predictable products.

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Present your solution in a technical report format, explaining steps and providing
details.
9.1. An ice crystal in the form of a thin hexagonal plate grows by diffusion in
an environment saturated with respect to water at a temperature of -4°C
and a pressure of 80 kPa. Determine the time required for it to grow to a
diameter of 1 mm, starting from a mass of 10-8 g. Take the capacity
(capacitance, C) to be that of the circumscribing disk. Assume that the mass
and the diameter of the plate are related by m = 1.9 X 10-2D³, with mass in
g and D in cm. Neglect ventilation effects. If diameter and fall speed are
related by u = KD; where K = 520 s-1, determine the distance the crystal falls
during the growth to 1mm diameter.
The key equation (9.2) could be dm/dt = 4+CD(pv - pvr) but if one allows for
latent heat release one needs equation 9.4, and lots of assorted values. Not
clear how to interpret the last 2 lines on p160 but you should use ice
parameters

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Calculate the capillary effect in mm in a glass tube of 2mm diameter, when immersed in (1)water, (2)mercury. The temperature of the liquid is 25°C and the values of surface tensions of water and mercury at 25°C in contact with air is 0.0755 and 0.59N/m respectively. The angle of contact for water is 0° and 130° for mercury . Take the density of water 1000 kg/m3, specific gravity of mercury is 13.6. The capillary effect of water in mm is equal to= The capillary effect of mercury in mm is equal to=