# Gas Pressure Formula

The force exerted by the substance per unit area on another substance is known as pressure. The pressure of gas is the force exerted by the gas on the walls of its container.The gas molecules move randomly along the given volume. During this movement, they collide with the surface and also with each other. The impact of every individual gas molecule is too small and difficult to visualize. But the impact of all the gas molecules considered together constitutes the gas pressure. Greater the number of collisions, greater would be the pressure.

The Gas pressure formula is given as,

$P=\frac{F}{A}$

Where,

F = impact force due to gas collisions in Newtons (N),

A = area in meter square

The Ideal gas pressure formula is given as,

$P=\frac{nRT}{V}$

Where,

V = volume,

n = number of moles,

R = Gas constant,

T = temperature.

The SI unit for Gas pressure is expressed in Pascals (Pa).

Example 1

There are 500 moles of gas molecules in a container. If 220 K temperature is applied to the gas of a volume of 40 L, identify the Gas pressure.

Solution

Given :

No of moles n = 500 mol,

temperature T = 220 K,

Volume V = 40 L

The Gas pressure formula is given by,

$P=\frac{nRT}{V}$

P = 500 ×0.082×220 / 40

P = 225.5 Pascal

Example 2

If the Gas molecules move with the force of 300 N in the area of 50 m2. Determine its gas pressure.

Solution:

Given:

Force F = 200 N,

area A = 20 m2

The gas pressure formula is given by,

P = F / A

P = 300 / 50

P = 6 Pascal