The 'space', or 'any single character', is actually of type integer, equal to the ASCII value of that character. So it's size will be 4 bytes.
If you create a character variable and store a character in it, then only it is stored in 1 byte memory.
char ch;
ch=' ';
printf("%d",sizeof(ch));
//outputs 1
For anything to be a string, it must be terminated with a null character represented as '\0'.
If we write a string "hello", it is actually stored as 'h' 'e' 'l' 'l' 'o' '\0', so that the system knows string ends after the 'o' in "hello" and it stops reading when null character comes. The length of this string is still 5 if you use strlen() function but actually the sizeof(string) is 6 bytes.
When we create an empty string, like "", it's length is 0 but size is 1 byte as it must terminate where it starts, i.e. at 0th character.
Hence an empty string consists of only one character, that is null character, giving size 1 byte.