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Homework 6 Solution

# Homework 6 Solution - MEEN 222-502 Fall 2008 Homework#6 Due...

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MEEN 222-502 Fall 2008 Homework #6 Due: 19 November 2008 at the beginning of class 1. Callister 9.1 (a) We are asked to determine how much sugar will dissolve in 1000 g of water at 80°C. From the solubility limit curve in Figure 9.1, at 80°C the maximum concentration of sugar in the syrup is about 74 wt%. It is now possible to calculate the mass of sugar using Equation 4.3 as 100 g 1000 wt% 74 100 (wt%) sugar sugar water sugar sugar sugar × + = × + = m m m m m C Solving for m sugar yields m sugar = 2846 g. (b) Again using this same plot, at 20°C the solubility limit (or the concentration of the saturated solution) is about 64 wt% sugar. (c) The mass of sugar in this saturated solution at 20°C ( m sugar ) may also be calculated using Equation 4.3 as follows: 100 1000 wt% 64 sugar sugar × + = g m m which yields a value for of 1778 g. Subtracting the latter from the former of these sugar concentrations yields the amount of sugar that precipitated out of the solution upon cooling ; that is g 1068 g 1778 g 2846 = = = sugar sugar sugar m m m 2. Callister 9.5 This problem asks us to consider a specimen of ice that is at –15°C and 10 atm pressure. (a) Melting occurs, (by changing pressure) as, moving vertically (upward) at this temperature, we cross the Ice-Liquid phase boundary of Figure 9.2. This occurs at approximately 1,000 atm; thus, the pressure of the specimen must be raised from 10 to 1,000 atm.

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MEEN 222-502 Fall 2008 (b) In order to determine the pressure at which sublimation occurs at this temperature, we move vertically downward from 10 atm until we cross the Ice-Vapor phase boundary of
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Homework 6 Solution - MEEN 222-502 Fall 2008 Homework#6 Due...

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