Final answer:
The statement in question is false because some minerals can have variations in their composition due to the substitution of similar atoms without changing the identity of the mineral.
Step-by-step explanation:
The statement 'There can be no variation of mineral composition in order for the substance to remain the same mineral' is false. Minerals are defined as naturally occurring, inorganic solids with a definite chemical composition and a characteristic crystalline structure. While it's true that a mineral has a specific chemical formula, some minerals can exhibit variations in their composition due to the substitution of atoms with similar size and charge. An example is olivine, with the formula (Mg,Fe)2SiO4, indicating that magnesium and iron can vary in proportion. This variability is within the tolerance of the mineral's structure, so the substance is still considered the same mineral.