Critical Temperature: Meaning, Formula, Examples & Table

Critical Temperature is essential in chemistry and helps students understand various practical and theoretical applications related to this topic, especially in thermodynamics, phases of matter, and real gas behavior. This concept regularly appears in board exams, NEET, JEE, and Olympiads, making it a must-know for every chemistry student.

What is Critical Temperature in Chemistry?

A critical temperature refers to the highest temperature at which a substance can be transformed from its gaseous state to a liquid only by increasing the pressure. Above this temperature, no amount of pressure will cause the gas to liquefy. This idea shows up in chapters related to thermodynamics, states of matter, and physical properties, making it foundational for your chemistry syllabus.

Molecular Formula and Composition

The concept of critical temperature does not have a specific molecular formula, since it refers to any substance’s phase behavior. Instead, each compound or element has its own unique critical temperature value based primarily on its molecular structure and intermolecular forces, such as van der Waals forces and hydrogen bonding.

Preparation and Synthesis Methods

The critical temperature for each gas is determined through experimental methods. In the laboratory, a sample of gas is subjected to gradually increasing pressures at constant, varied temperatures until the distinction between liquid and gas phases disappears. This is observed using sealed view cells and pressure-temperature charts. In industry, knowledge of a gas’s critical temperature is vital for designing equipment for gas liquefaction, such as during the phase change of natural gas, CO₂, or refrigerants.

Physical Properties of Critical Temperature

The value of critical temperature depends on molecular bonding, atomic size, and polarity. For example, H₂O (water) has a very high critical temperature because of strong hydrogen bonds, while Helium (He) has an extremely low critical temperature due to very weak forces. See the table below for typical values:

Substance	Critical Temperature (K)
Water (H₂O)	647.1
Carbon Dioxide (CO₂)	304.2
Ammonia (NH₃)	405.5
Nitrogen (N₂)	126.2
Helium (He)	5.2

Chemical Properties and Reactions

The critical temperature influences whether a substance can exist in a liquid phase at given pressures. Below Tc, phase transitions such as melting, boiling, evaporation, or condensation happen normally. Above Tc, the distinction between liquid and gas phases disappears, leading to the formation of supercritical fluids, which display unique solvent abilities and densities. For example, at temperatures and pressures above water’s critical point, water becomes a powerful green solvent for organic reactions and waste treatment.

Frequent Related Errors

• Confusing critical temperature with boiling point or melting point (these are not the same).
• Mistaking critical temperature for “triple point” or “critical pressure” (triple point is where all three phases exist together; critical pressure is the minimum pressure needed for liquefaction at Tc).
• Assuming substances can always be liquefied with enough pressure, even above Tc. (This is false.)

Uses of Critical Temperature in Real Life

Critical temperature is extremely useful in industries such as:

• Production and transport of liquefied gases (LPG, ammonia, CO₂).
• Refrigeration and air conditioning cycle design, as working fluids must stay below their Tc.
• Supercritical extraction (like caffeine removal from coffee using CO₂ above Tc).
• Waste destruction using supercritical water oxidation.
• Chemical process engineering and safety calculations.

Relevance in Competitive Exams

Students preparing for NEET, JEE, and Olympiads should be familiar with critical temperature, as it forms part of key thermodynamics, states of matter, and physical chemistry chapters. You may encounter exam questions comparing Tc values, asking for conceptual differences, or calculating critical parameters using the van der Waals equation:

Critical Temperature Formula for Real Gases:
Tc = (8a) / (27Rb)
Where a and b are van der Waals constants for the gas, and R is the universal gas constant.

Relation with Other Chemistry Concepts

Critical temperature is closely related to topics such as critical pressure, supercritical fluid, the phase diagram, and van der Waals forces. Understanding Tc also helps clarify when phase transitions are possible and how substances behave under extreme laboratory or industrial conditions.

Step-by-Step Reaction Example

No chemical reaction is directly associated with critical temperature, but here is how to calculate it using van der Waals constants:

1. Write the van der Waals equation for real gases.

2. Set up the relationships for critical temperature, pressure, and volume:

3. Plug in appropriate values for your gas.

4. Final answer: This gives you the Tc, above which the gas cannot be liquefied by pressure alone.

Lab or Experimental Tips

Remember critical temperature by the rule of “point of no return” for liquefaction. Once a gas is above Tc, no practical increase in pressure will turn it into a liquid. Vedantu educators use the colored phase diagram trick—draw pressure vs. temperature, highlight the critical point, and notice that beyond Tc, the substance’s liquid–gas line ends.

Try This Yourself

• Find the critical temperature of nitrogen and compare it to that of water.
• Explain what happens to CO₂ in a sealed container as you raise the temperature above its Tc.
• Name two uses of supercritical fluids in daily life or industry.

Final Wrap-Up

We explored critical temperature—its definition, importance, formula, and real-life applications. Understanding critical temperature helps you unlock concepts like states of matter, phase changes, and critical pressure. For more in-depth explanations and exam-prep tips, check out live classes and study resources at Vedantu.