**Problem Statement:** CO₂ was added to a cylinder containing 2.6 atm of O₂ to give a total pressure of 4.9 atm of gas. What is the partial pressure of O₂ and CO₂ in the final mixture? **Partial Pressures to Determine:** - CO₂: [ ] atm - O₂: [ ] atm **Explanation:** This problem involves calculating the partial pressures of gases within a mixture using Dalton's Law of Partial Pressures. Dalton's Law states that the total pressure of a gas mixture is equal to the sum of the partial pressures of the individual gases. **Given:** - Initial pressure of O₂ = 2.6 atm - Total pressure after adding CO₂ = 4.9 atm **Calculation:** - The partial pressure of CO₂ can be found by subtracting the initial pressure of O₂ from the total pressure: \[ \text{Partial pressure of CO₂} = 4.9 \text{ atm} - 2.6 \text{ atm} = 2.3 \text{ atm} \] - Therefore, the partial pressures in the final mixture are as follows: - CO₂: 2.3 atm - O₂: 2.6 atm
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.
![**Problem Statement:**
CO₂ was added to a cylinder containing 2.6 atm of O₂ to give a total pressure of 4.9 atm of gas. What is the partial pressure of O₂ and CO₂ in the final mixture?
**Partial Pressures to Determine:**
- CO₂: [ ] atm
- O₂: [ ] atm
**Explanation:**
This problem involves calculating the partial pressures of gases within a mixture using Dalton's Law of Partial Pressures. Dalton's Law states that the total pressure of a gas mixture is equal to the sum of the partial pressures of the individual gases.
**Given:**
- Initial pressure of O₂ = 2.6 atm
- Total pressure after adding CO₂ = 4.9 atm
**Calculation:**
- The partial pressure of CO₂ can be found by subtracting the initial pressure of O₂ from the total pressure:
\[
\text{Partial pressure of CO₂} = 4.9 \text{ atm} - 2.6 \text{ atm} = 2.3 \text{ atm}
\]
- Therefore, the partial pressures in the final mixture are as follows:
- CO₂: 2.3 atm
- O₂: 2.6 atm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faed2933e-b67f-42a0-9fac-b6dce0e828b0%2F5cc58718-6ebd-4ed7-bbe2-977c4fdc2890%2Fh6prqvu.jpeg&w=3840&q=75)
Step by step
Solved in 2 steps with 2 images
