Memory Usage

[rbt]

Would a Python process consume more memory on a PC with lots of memory?

For example, say I have the same Python script running on two WinXP 
computers that both have Python 2.4.0. One computer has 256 MB of Ram 
while the other has 2 GB of Ram. On the machine with less Ram, the 
process takes about 1 MB of Ram. On the machine with more Ram, it uses 9 
MB of Ram.

Is this normal and expected behavior?

Thanks,

rbt