The correct options are
A Change in state function between two states is a definite quantity and does not depend on path.
C Heat capacity is a path function.
D Intensive properties can't be algebraically added or subtracted.
The statements
A, B and
D are correct.
(A) Change in state function between two states is a definite quantity and does not depend on the path.
Thus, the enthalpy change is a state function. Its value depends on initial and final value of enthalpy. It is independent of the path followed.
(B) Intensive properties can't be algebraically added or subtracted.
Thus, the density of the substance cannot be added or subtracted.
(C) Ratio of two extensive properties results into a parameter that is independent of the amount of substance.
Density (ratio of mass to volume) is an intensive property whereas mass and volume are extensive properties.
(D) Heat capacity is a path function. Its value depends upon path followed.