How does the concentration of reagents affect the rate of a chemical reaction? Why does a splinter, smoldering in air

How does the concentration of reagents affect the rate of a chemical reaction? Why does a splinter, smoldering in air, flare up in a test tube, in which hydrogen peroxide decomposes?

The higher the concentration of the reagents, the more active collisions occur, leading to the reaction.
A speck that smolders in air will flare up in a test tube with decomposing peroxide, because the concentration of oxygen in the test tube is higher, which is obtained by the reaction
2H2O2 -> 2H2O + O2
The oxygen concentration in the air is only 1/5.

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