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General Chemistry Principles, Patterns, and Applications, 2011

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2. The solubility of O 2 in 100 g of H 2 O at varying temperatures <strong>and</strong> a pressure of 1 atm is given in the following<br />

table:<br />

Solubility (g) Temperature (°C)<br />

0.0069 0<br />

0.0054 10<br />

0.0043 20<br />

a. What is the value of the Henry’s law constant at each temperature?<br />

b. Does Henry’s law constant increase or decrease with increasing temperature?<br />

c. At what partial pressure of O 2 would the concentration of O 2 in water at 0°C be the same<br />

as the concentration in water at 20°C at a partial pressure of 1 atm?<br />

d. Assuming that air is 20% O 2 by volume, at what atmospheric pressure would the<br />

O 2 concentration be the same at 20°C as it is at atmospheric pressure <strong>and</strong> 0°C?<br />

ANSWER<br />

1.<br />

a. 0.678 L CO 2<br />

b. k 0 ° C = 7.61 × 10 −2 M/atm, k 20 ° C = 3.84 × 10 −2 M/atm<br />

[1] The phenomenon is similar to that involved in the increase in vapor pressure of a pure liquid<br />

with increasing temperature, as discussed in Chapter 11 "Liquids". In the case of vapor<br />

pressure, however, it is attractive forces between solvent molecules that are being overcome<br />

by the added thermal energy when the temperature is increased.<br />

13.4 Effects of Temperature <strong>and</strong> Pressure on Solubility<br />

L E A R N I N G O B JE C T I V E<br />

1. To underst<strong>and</strong> the relationship among temperature, pressure, <strong>and</strong> solubility.<br />

Experimentally it is found that the solubility of most compounds depends strongly on temperature <strong>and</strong>, if a gas, on<br />

pressure as well. As we shall see, the ability to manipulate the solubility by changing the temperature <strong>and</strong> pressure<br />

has several important consequences.<br />

Effect of Temperature on the Solubility of Solids<br />

Figure 13.9 "Solubilities of Several Inorganic <strong>and</strong> Organic Solids in Water as a Function of<br />

Temperature" shows plots of the solubilities of several organic <strong>and</strong> inorganic compounds in water as a<br />

Saylor URL: http://www.saylor.org/books<br />

Saylor.org<br />

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