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Have trouble understanding a move please

Hello all,
Please I have trouble understanding a computer line shown--it is the pawn sacrifice at move 18 (the move c5) the engine suggests--I had difficulty understanding it.

http://en.lichess.org/agt3QJrK#35
Thanks so much!
And also at move 20 please. If you have time to address the other inaccuracies please do. I understand the blunder.
c5 is a natural move in this type of position. you open lines to be able to enter the sixth and seventh rank with your heavy pieces. Pawns a6, e7 and g6 are then targets.

Have a look at this classical game by Capablanca:

http://de.lichess.org/fRUN4Zay#52

On move 26 he sacs a pawn to be able to enter the second rank with his second rook. Such an advantage usually decides the game.

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