What is the partial pressure (in atm) of SO3 if 1.37 moles of SO3 are mixed with 3.09 moles of O2 and the total pressure in the container is 8.19 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 Description:**
What is the partial pressure (in atm) of SO₃ if 1.37 moles of SO₃ are mixed with 3.09 moles of O₂ and the total pressure in the container is 8.19 atm?
**Explanation:**
To solve this problem, use Dalton's Law of Partial Pressures, which states that the total pressure of a gas mixture is the sum of the partial pressures of each individual component in the gas mixture.
1. **Determine Mole Fractions:**
- Total moles of gas = moles of SO₃ + moles of O₂
- Total moles = 1.37 + 3.09 = 4.46 moles
2. **Calculate Mole Fraction of SO₃:**
\[
\text{Mole fraction of SO₃} = \frac{\text{moles of SO₃}}{\text{total moles}} = \frac{1.37}{4.46}
\]
3. **Calculate Partial Pressure of SO₃:**
- The partial pressure of a gas is given by its mole fraction multiplied by the total pressure.
- \( P_{\text{SO₃}} = \left(\frac{1.37}{4.46}\right) \times 8.19 \, \text{atm} \)
By following these steps, the partial pressure of SO₃ in the container can be calculated accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9dbaf28b-531f-4842-8caf-eb3ad75d7a35%2F745654e6-c480-45db-8513-4ba9e0a0ef27%2Fyefu9_processed.jpeg&w=3840&q=75)
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