A few questions about processors

I vetted my answer with benchmarks. The i5, while a fine CPU lacks the graphic punch your average gamer would want. Some are just learning this and let's try to avoid learning by emptying your wallet.
Bob

Sorry im on mobile at the moment and it posted.

So what im hearing is that i3 and i5 are better than pentium but they are all bad? But the pentium 4th generation specs seem to cover more than enough for the games (2.4GHz recommended but it has 3GHz)
So is it still ok?
And doesnt FPS also have alot to do with the video card not just processor?

That's why I added links so you can see the score. I even went to the current i5 Haswell to show that while it's one nice CPU the games are still barely acceptable as you see that many are subpar on low settings. Gamers tend to want the medium setting at least.
Bob

"doesnt FPS also have alot to do with the video card not just processor?"

TRUE to the point of pain. Read this one where you find out that CPU doesn't increase frame rates.

"Our tests demonstrate fairly little difference between a $225 LGA 1155 Core i5-2500K and a $1000 LGA 2011 Core i7-3960X, even when three-way graphics card configurations are involved. It turns out that memory bandwidth and PCIe throughput don't hold back the performance of existing Sandy Bridge-based machines. "
http://www.tomshardware.com/reviews/gaming-cpu-review-overclock,3106-4.html

I see gaming as being in two camps on laptops. The first is Intel plus a GPU, and the second is the economy class (I don't scoff at these) with the AMD A10 APU. We have a Toshiba S855D-S5120 that cost about 400 refurb from Woot.com and games do play very well.
Bob

Overall this specific processor (4th generation pentium 3GHz model G3220) should be able to handle these games (minimum and recommended specs above for games), and for better graphics/FPS a better graphics/video card would fix that?

Thankyou for all of your input!

Sorry but I've yet to find gamers happy with onboard graphics. Since it's a desktop you can add a card later.
Bob

Bob is talking about the graphics chip integrated into the CPU, which is enough for basic day to day tasks, but completely useless for any kind of gaming.

So just make sure to budget for a decent video card as well. Check out the nVidia GTX 750 (not the 750Ti) which is a solid lower mid-range card with a MSRP of ~$150, though I've heard it said that you can get it on the likes of NewEgg and Amazon for around the $110 range. Not sure what the League of Legends requirements are, but it should be more than enough for World of Warcraft and Minecraft.

Gamers will usually be unhappy with sub-60 frame rates but in a pinch, why not? But you still won't have me pitching this to the gamer crowd as they get very very upset with you when the frame rate dips out.
Bob

It can take a bucket load of those things if you want to get serious about gaming.

No idea what machine the op has ordered.
No idea what the budget is.
No idea what features they want to enable or what acceptable frame rates are.
It's not my idea of a gaming rig......but there is that budget thing.
I'm blind.

The Ravenous Bugblatter Beast of Traal.

Sorry about all of the info i didn't give. I can't seem to find the computer anywhere online, if only my old laptop worked, it had everything on there. The old laptop they used was 7years old and was an asus model. It ran pentium and 4Gbs of RAM as well, without any upgrades to it they got 70-80Fps. This laptop was again, pretty old. So I'm going to assume the desktop im ordering, being that inspiron just released it, will have an even better video card? (it also has more hard drive space than the laptop i had).
Note: the laptop ran on medium settings without shadows if i remember correctly with 70-80Fps.

The budget was around ~700$ as i try not to spoil my kids with an Alienware computer or something of the sort, nor do i have the budget for it.

Acceptable framerates would be anywhere above 40-50? I never got into the games, just watched occasionally and listened to screaming about lag due to my daughter loving netflix. (we then increased internet bandwidth/speed)

Not looking for anything exceptional really. and i remember the Dell website saying it was highly upgradeable/expandable in all ways. So worst comes to worst i buy a new video card?

I remember it looking exactly like this, with most same of everything except for pentium processor rather than i3,i5,etc.

http://www.dell.com/us/business/p/inspiron-3847-desktop/pd

Not necessarily. An older laptop with discreet graphics might still well beat out a newer system with integrated graphics. One of the things most often left out of integrated graphics is a texture and lighting (T&L) engine of any kind. For gaming, this is often crucial to performance, but it's one of the more expensive things to build into a GPU, which is why integrated graphics often leave it out.

But assuming you want the computer to last, you want a better CPU. So if it were me, I'd consider something more like the following unit and use the slack in your budget to get a 750 card from Amazon or NewEgg to pop in there. Also at some point I'd highly recommend a UPS unit for it. One that does some kind of voltage regulation.

http://www.dell.com/us/p/inspiron-3847-desktop/pd?oc=fdcwrn1359&model_id=inspiron-3847-desktop

While it might seem like a big step up from what you've been using, you have to also remember that software has evolved as well. Plus you'd be amazed at how quickly you'll find ways to use the increase in the raw power of the new computer. Something with a Pentium CPU is like a race horse hit with a mild tranquilizer before it even gets out of the gate. The one I listed above, assuming you take care of it, should last you several years easy.

If your happy with the perf.......good to go.

If you decide to keep it and upgrade.......be aware.
Assuming the cpu is the g3220.....that's a dual core....not exactly a gamers first pick.
Based on your link your ram is running single channel mode.....not good for perf.
You have a 300w psu which will limit your selection of gpu's....unless you want to change the psu also.

Your call.