quick specs:
i7 2.4ghz proci
16gb ram
4gb amd radeon gpu
for educational purposes it's perfect!
Just join any mining pool and see how much you get after a few blocks are solved.
I would suggest that you join different mining pools(3 at least) and stay 1 day in each .... see witch one gives the best output and then decide.
All the people here would say it's not profitable .... but only you can decide if it is or not. imagine you make 0.00500000BTC, you keep them and after a few years BTC price is 250.000$/1BTC that will be 1250$ if the price will go that high
No one can tell if it's profitable or not .... because no one knows what the price will be and everyone is referring to the actual price witch in my opinion sucks.
When BTC will be used worldwide by everyone then 0.1BTC will be enough to live a few years without problem.
the fees will be 0.00000001BTC because there will be billions of transactions everyday.
I would say just go and mine some coins