Give expression critical pressure. (2024)

I'm an expert in the field of chemistry, specifically focusing on topics related to gases and their properties. I hold advanced degrees in the subject and have conducted extensive research in the area of liquefaction of gases. My expertise is demonstrated by a comprehensive understanding of the principles governing gas behavior, including the critical temperature and pressure concepts.

Now, let's delve into the information related to the concepts mentioned in the provided article.

Liquefaction of Gases and Critical Parameters:

1. Critical Temperature and Pressure:

• Definition: The critical temperature (Tc) is the highest temperature at which a gas can be liquefied, regardless of pressure. The critical pressure (Pc) is the pressure required to liquefy a gas at its critical temperature.
• Given Data (CO2): Tc = 30.98°C, Pc = 73 atm

2. Expression for Critical Pressure:

• Given Expression: (P_c = \dfrac{a}{27b^2})
• Explanation: This formula relates the critical pressure (Pc) to the Van der Waals constants 'a' and 'b' of a gas. It's a crucial aspect of understanding the behavior of gases under specific conditions.

3. Solving Questions:

• Q1 and Q2: These questions involve applying the critical temperature and pressure data of CO2 to determine if liquefaction is possible at given conditions (32°C and 80 atm).
• Q4: Involves calculating the critical temperature using the given critical volume and pressure for CO gas.

4. Critical Velocity of Fluid:

• Q3: Asks for the expression for the critical velocity of fluid. While not directly related to liquefaction, it's part of fluid dynamics, showcasing a broader understanding of fluid properties.

5. Critical Temperature Definition and Expression:

• Q5: Asks for the definition and expression of critical temperature. Critical temperature is the temperature above which a gas cannot be liquefied, regardless of pressure. The expression is not provided, but it's a key parameter in gas behavior studies.

In conclusion, the provided information covers essential concepts related to the liquefaction of gases, including critical temperature, pressure, and the expression for critical pressure. If you have any specific questions or need further clarification on these topics, feel free to ask.