Thermodynamic properties – classify intensive vs extensive A thermodynamic property is called intensive if, for a system subdivided into parts, the property value for the whole system __________ the sum of the property values for the individual parts.

Introduction / Context:
Knowing whether a property is intensive or extensive determines how it scales when systems are combined or subdivided. Correct classification is fundamental for material and energy balances and for understanding state equations and constitutive relations.

Given Data / Assumptions:

• System can be partitioned into non-interacting, similar subsystems.
• Examples: temperature, pressure (intensive); mass, volume (extensive).
• “Additivity” refers to simple summation over parts.

Concept / Approach:

Extensive properties are additive: the total equals the sum over parts (e.g., V_total = ΣV_i). Intensive properties do not add upon combining subsystems; instead, they are uniformized by equilibrium (e.g., a common temperature or pressure). Therefore, an intensive property for the whole is not the sum of that property for the parts; it is defined independent of system size or amount of matter.

Step-by-Step Solution:

Verification / Alternative check:

Specific properties (e.g., specific volume v = V/m) are intensive because ratio of two extensive properties removes size dependence; when two identical systems are combined, v remains the same, not doubled or summed.

Why Other Options Are Wrong:

Equal to / always twice / additive only for solids: Misstate the non-additive nature of intensive properties.Greater than or equal to: No general inequality of that form applies.

Common Pitfalls:

Confusing specific properties (intensive) with their corresponding totals (extensive). Remember that “specific,” “molar,” and “per unit mass” properties are typically intensive.

Final Answer:

is not equal to