Dry ice is solid carbon dioxide. It sublimes readily. Suppose there is a 25.0 liter glass bottle containing nitrogen at 382 mm Hg and 31 °C. A 31.8 gram sample of dry ice is placed into this bottle without any nitrogen escaping. There is no chemical reaction and the temperature remains constant. After the entire sample of dry ice has sublimed: 8-6. a. What is the partial pressure of the CO2 gas in the bottle? b. What is the total pressure in the bottle? C. What is the mole fraction of CO, gas in the bottle?
Ideal and Real Gases
Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,
Gas Laws
Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries were made by Charles, Gay-Lussac, Avogadro, and others. Eventually, these observations were combined to produce the ideal gas law.
Gaseous State
It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed forms of matter studied are solids, gases and liquids. The best example of a substance that is present in different states is water. It is solid ice, gaseous vapor or steam and liquid water depending on the temperature and pressure conditions. This is due to the difference in the intermolecular forces and distances. The occurrence of three different phases is due to the difference in the two major forces, the force which tends to tightly hold molecules i.e., forces of attraction and the disruptive forces obtained from the thermal energy of molecules.
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![### Exercise 8-6: Sublimation of Dry Ice in a Closed System
Dry ice is solid carbon dioxide (CO₂). It sublimates readily. Suppose there is a 25.0-liter glass bottle containing nitrogen at 382 mm Hg and 31°C. A 31.8-gram sample of dry ice is placed into this bottle without any nitrogen escaping. There is no chemical reaction, and the temperature remains constant. After the entire sample of dry ice has sublimated:
a. **What is the partial pressure of the CO₂ gas in the bottle?**
b. **What is the total pressure in the bottle?**
c. **What is the mole fraction of CO₂ gas in the bottle?**
This problem involves calculating the effects of introducing CO₂ into a closed system with a known volume and pre-existing nitrogen gas. The use of the ideal gas law may be required to find partial pressures and mole fractions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff22679d5-7d63-4ba5-af1a-f15c6fc24e7e%2F98aa1050-0255-488b-a2b3-516632e368d0%2F47peye_processed.jpeg&w=3840&q=75)
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