It's because in your first case, your current shell expands the $HELLO variable before running the commands. And there's no HELLO variable set in your current shell.
env HELLO='Hello World' echo $HELLO
will do this:
- expand any variables given, in this case
$HELLO
- run env with the 3 arguments
'HELLO=Hello World', 'echo' and '' (an empty string, since there's no HELLO variable set in the current shell)
- The
env command will run and set the HELLO='Hello World' in its environment
env will run echo with the argument '' (an empty string)
As you see, the current shell expanded the $HELLO variable, which isn't set.
HELLO='Hello World' bash -c 'echo $HELLO'
will do this:
- set the variable
HELLO='Hello World for the following command
- run bash with the 2 arguments
'-c' and 'echo $HELLO'
- since the last argument is enclosed in single quotes, nothing inside it is expanded
- the new bash in turn will run the command
echo $HELLO
- To run echo
$HELLO in the new bash sub-shell, bash first expands anything it can, $HELLO in this case, and the parent shell set that to Hello World for us.
- The subshell runs
echo 'Hello World'
If you tried to do e.g. this:
env HELLO='Hello World' echo '$HELLO'
- The current shell would expand anything it can, which is nothing since
$HELLO is enclosed in single quotes
- run env with the 3 arguments
'HELLO=Hello World', 'echo' and '$HELLO'
- The env command will run and set the
HELLO='Hello World' in its environment
- env will run echo with the argument
'$HELLO'
In this case, there's no shell that will expand the $HELLO, so echo receives the string $HELLO and prints out that. Variable expansion is done by shells only.
HELLO='Hello World' env | grep HELLOwhich does what is requested but is much less useful in practice than the accepted answer.$HELLOis empty. Search for variable expansion in bash's man page!