You are correct in stating that extensive properties depend on the quantity of matter, while intensive properties do not. Let's classify the properties you mentioned into extensive or intensive:
Mass: Extensive property - It depends on the quantity of matter present.
Internal Energy: Extensive property - The internal energy of a system is directly proportional to the amount of substance in the system.
Pressure: Intensive property - Pressure is independent of the quantity of matter and is a characteristic of the state of the system.
Heat Capacity: Extensive property - Heat capacity is directly proportional to the amount of substance present.
Molar Heat Capacity: Intensive property - Molar heat capacity is the heat capacity per mole of substance, and it is independent of the quantity of matter.
Density: Intensive property - Density is the mass per unit volume, and it is independent of the quantity of matter present.
Mole Fraction: Intensive property - Mole fraction is the ratio of moles of one component to the total moles in a mixture, and it is independent of the amount of the mixture.
Specific Heat: Intensive property - Specific heat is the heat capacity per unit mass and does not depend on the quantity of matter.
Temperature: Intensive property - Temperature is a measure of the average kinetic energy of the particles in a system and is independent of the amount of substance.
Molarity: Intensive property - Molarity is the number of moles of solute per liter of solution and is independent of the quantity of solution.
In summary, extensive properties (mass, internal energy, heat capacity) depend on the amount of matter, while intensive properties (pressure, molar heat capacity, density, mole fraction, specific heat, temperature, molarity) are independent of the quantity of matter.
