Reaction vessel volumeIf the reaction vessel volume were to be increased, the concentration inside the vessel would decrease. Therefore the molecules would not be as likely to collide with each other, lowering the rate of the reaction. If the volume were decreased, there would be a higher concentration, therefore higher likelihood of molecules colliding and reacting, increasing the rate of reaction.
Reaction vessel temperatureIf the temperature is increased, molecules have greater motion and energy, and are therefore more likely to collide successfully so the reaction takes place. This increases reaction rate. If temperature is lowered, the molecules have lower motion and less energy, therefore they don't collide as much and collide less successfully. This lower reaction rate.