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:**
A steel bottle contains 19.0 L of a gas at 11.0 atm and 22°C. What is the volume of gas at STP?
**Solution:**
To find the volume of the gas at standard temperature and pressure (STP), we use the ideal gas law and the combined gas law.
- **STP Conditions:** 1 atm and 0°C (273 K)
**Given:**
- Initial Volume (V₁) = 19.0 L
- Initial Pressure (P₁) = 11.0 atm
- Initial Temperature (T₁) = 22°C = 295 K (Convert to Kelvin by adding 273)
**To Find:**
- Volume at STP (V₂) when P₂ = 1 atm and T₂ = 273 K
**Use the Combined Gas Law:**
\[
\frac{P₁ \times V₁}{T₁} = \frac{P₂ \times V₂}{T₂}
\]
Rearrange to solve for V₂:
\[
V₂ = \frac{P₁ \times V₁ \times T₂}{P₂ \times T₁}
\]
Substitute the known values:
\[
V₂ = \frac{11.0 \times 19.0 \times 273}{1 \times 295}
\]
Solve for V₂ to find the volume of gas at STP in liters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcaf0374-1550-4ffb-84ad-720668c0d5ec%2Fad4e27c8-b8b0-4103-bea7-136aa84d8b59%2Fgxubl5o_processed.png&w=3840&q=75)
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