Today I was presented with the following scenario: A syringe with one end sealed and with a frictionless piston is dipped into cold water. What is the change in frequency of collision(ie, more or less)?
In my opinion, it should be lesser. When temperature decreases, average velocity of the gas particles decreases as $T\propto KE$. Hence, since velocity decreases, frequency of collision should decrease too.
However, the correct answer was more. The argument is as follows: when temperature decreases, speed decreases. By ideal gas law and that the piston is frictionless, the piston would slide down to maintain the pressure. My teacher mentioned that pressure is made up of 2 components: force and frequency. Since speed is lower, force is lower, and frequency must increase accordingly such that pressure is the same.
I am rather skeptical of this answer. How does speed correspond to force? I would also like to know why my line is reasoning is flawed.