The range of values that can be stored by a variable of a particular data type in C is determined by the amount of memory that is allocated to that variable. The amount of memory allocated to a variable depends on the specific implementation of the compiler and the platform on which the program is running. However, the C standard defines minimum ranges for the built-in data types.

1. Integer types:

• int: At least 16 bits, can be signed or unsigned
• short: At least 16 bits, can be signed or unsigned
• long: At least 32 bits, can be signed or unsigned
• long long: At least 64 bits, can be signed or unsigned

1. Floating-point types:

• float: At least 6 significant digits
• double: At least 10 significant digits

1. Character types:

• char: At least 8 bits, can be signed or unsigned

1. Boolean types:

• _Bool: Can store either 0 or 1

It's important to note that these are the minimum ranges defined by the standard, actual ranges may be larger depending on the specific implementation and platform. Some compilers may provide extensions to support larger integer types or other types of data.

It's also important to remember that C does not define any range checking, so it's the programmer's responsibility to ensure that the values stored in a variable fall within the acceptable range for that variable's data type.