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Ideal Gas Equation

Ideal Gas Law Equation are gases which obeyes the Boyles law, charles law, Gay Luassac law and Avagadro law. Robert Boyle in 1662, studied the effect of change of pressure on the volume of a given mass of gas at constant temperature.

According to Boyle's law, for given mass of a gas at constant temperature, the pressure (P) is inversely proportional to its volume (V)PV = constant.Thus if V1 is the volume occupied by a given mass of a gas at pressure P1 and V2 is the volume when pressure changes to P2, then as the temperature remains constant, according to Boyle's lawP1 V1 = P2 V2 = Constant.

 The variation in the volume of a gas with temperature at constant pressure is given by charle's law. The law may be stated as, For a given mass of gas, at constant pressure, its volume (V) varies directly as its absolute temperature (T).V/T = constantV1/T1 = V2/T2 =constantBased on charle's law, Guy-Lussac Law has been considered as the pressure - temperature relation is deduced as, for a given quantity of a gas, at constant volume, the pressure (P) varies directly as its absolute temperature (T).P/T = constantP1/T1=P2/T2 = constantAvagadro law says that at given temperature and pressure the volume of the gas is directly proportional to the number of moles of the gas. 

Which means V would change with nCombining all of them the ideal gas equation has been put forward asPV="nRT"P1V1/T1 = P2V2/T2where Pis the pressure of the gas in the system and V is the volume of the container in which the gases are present and n is the number of moles of the gas, R is universal gas constant and T is the temperature of the gas. 

 problem on ideal gas law caculatorQ. Calculate the number of a gas that occupies 22.4L of volume at a temperature of 273K and the pressure of 1 atmAns: PV="nRT"where P = 1 atm V = 22.4L, Temperature =273K and R is given by 0.0821atmL/K/molethe equation to be used is PV="nRT" here all other data are given except for n so finding out nn="PV/RT"n = (1 x 22.4)/ (0.0821x 273) = 1 molepractice problem1. Calculate the volume of the gas at STP when the initial pressure is 3atm, voume is 12L and temperature is 334K2. Calculate the density of the oxygen gas at STP?