Pressure Of An Ideal Gas Formula — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Pressure of an Ideal Gas Formula Valid for ideal gases where intermolecular forces are negligible and collision time is negligible compared to time between collisions. Consider a molecule colliding elastically with a container wall Calculate change in momentum (2mv x) for a single collision Determine frequency of collisions based on velocity and container length Compute average force exerted by one molecule (F = dp/dt) Sum forces for N molecules assuming isotropic velocity distribution (averaging v 2/3) Divide total force by area to find Pressure Gas must be ideal Molecular collisions are perfectly elastic Point mass assumption for molecules Molecules move in random directions Confusing v rms with average velocity (which is zero for a stationary container) or mean speed Assuming m refers to the total mass of the gas rather than the mass of a single molecule Thinking this applies to liquids Confusing N (number of particles) with n (number of moles)