Intensive properties and extensive properties are types of physical properties of matter. The terms intensive and extensive were first described by physical chemist and physicist Richard C. Tolman in 1917. Here's a look at what intensive and extensive properties are, examples of them, and how to tell them apart.
Intensive Properties
Intensive properties are bulk properties, which means they do not depend on the amount of matter that is present. Examples of intensive properties include:
Boiling point
Density
State of matter
Color
Melting point
Odor
Temperature
Refractive Index
Luster
Hardness
Ductility
Malleability
Intensive properties can be used to help identify a sample because these characteristics do not depend on the amount of sample, nor do they change according to conditions.
Extensive Properties
Extensive properties do depend on the amount of matter that is present. An extensive property is considered additive for subsystems. Examples of extensive properties include:
Volume
Mass
Size
Weight
Length
The ratio between two extensive properties is an intensive property. For example, mass and volume are extensive properties, but their ratio (density) is an intensive property of matter.
While extensive properties are great for describing a sample, they aren't very helpful identifying it because they can change according to sample size or conditions.
Way to Tell Intensive and Extensive Properties Apart
One easy way to tell whether a physical property is intensive or extensive is to take two identical samples of a substance and put them together. If this doubles the property (e.g., twice the mass, twice as long), it's an extensive property. If the property is unchanged by altering the sample size, it's an intensive property.
This is the number of combinations of 2 from 23
23C2 = 23! / 2! 21!
A quick way to do this is 23*22 / 2 = 253
Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
I bealive if it is the nature of the slope in unison comparing y-intercept elgebra it is Y=3x-3/4
