ideal gas equation

Aug 26, 2022, 16:45 IST

ideal gas equation and its use

The results of the laws of Boyle and Gas-Lussac can be combined into an expression which represents the relationship between pressure, volume and temperature of a given mass of a gas; such an expression is described as an equation of state.Suppose the gas is in the initial state with volume, V1, pressure p1and temperature T1. We then change the state of the gas to a volume V2, pressure p2 and temperature T2. Let us carry out this change in two steps.

ideal gas equation

pV = nRT

The universal gas constant R = pV/nT. Thus, it has the unit of (pressure   volume) divided by (amount of gas   temperature). Now the dimensions of pressure and volume are,

Pressure = (force/area) = (force/length2) = force   length−2

Volume = length3

Thus, the dimensions of R are energy per mole per kelvin and hence it represents the amount of work (or energy) that can be obtained from one mole of a gas when its temperature is raised by one kelvin.

Find below the detail explanation and derivation of ideal gas equation

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