Final answer:
The factor that causes the second reaction to have a faster rate of reaction is surface area.
Step-by-step explanation:
The factor that causes the second reaction to have a faster rate of reaction is surface area. When a flame is placed near the path of falling coal dust, an explosion occurs because the coal dust provides a greater surface area compared to the lump of coal. An increase in surface area leads to more collisions between reactant particles, which increases the rate of the reaction.