Final answer:
The pressure of a gas is calculated from the kinetic theory of gases, not by any of the listed options. Pressure is defined as the force per unit area exerted by gas molecules, and Boyle's law relates pressure and volume at constant temperature.
Step-by-step explanation:
The pressure exerted by a single gas molecule inside a box cannot be derived using any of the options listed in the question. To understand the pressure of a gas, we need to look at the kinetic theory of gases, which tells us that pressure at the macroscopic level is the force per unit area that the gas molecules exert when they collide with the walls of their container. This kinetic theory assumes that atoms and molecules are in continuous random motion. The pressure of an ideal gas is given by the equation P=(N/V)*k*T, where P is the pressure, N is the number of molecules, V is the volume, k is the Boltzmann constant, and T is the temperature in Kelvin. Boyle's law further relates pressure and volume at constant temperature, stating that their product is always constant (PV = k).