if an unknown gas sample effuses 1.432 times slower than a sample of Ar (39.95 g/mol) what is the molecular weight of the unknown gas (in g/mol)
Ideal and Real Gases
Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,
Gas Laws
Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries were made by Charles, Gay-Lussac, Avogadro, and others. Eventually, these observations were combined to produce the ideal gas law.
Gaseous State
It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed forms of matter studied are solids, gases and liquids. The best example of a substance that is present in different states is water. It is solid ice, gaseous vapor or steam and liquid water depending on the temperature and pressure conditions. This is due to the difference in the intermolecular forces and distances. The occurrence of three different phases is due to the difference in the two major forces, the force which tends to tightly hold molecules i.e., forces of attraction and the disruptive forces obtained from the thermal energy of molecules.
if an unknown gas sample effuses 1.432 times slower than a sample of Ar (39.95 g/mol) what is the molecular weight of the unknown gas (in g/mol)
Graham's law of effusion:
Graham's law of effusion states that the rate of effusion of a gas is inversely proportional to the square root of the mass of its particles. This formula can be written as:
where:
Rate1 is the rate of effusion for the unknown gas
Rate2 is the rate of effusion for the Ar gas
M1 is the molar mass of unknown gas = ?
M2 is the molar mass of Ar gas = 39.95 g/mol
We know that the unknown gas sample effuses 1.432 times slower than a sample of Ar (39.95 g/mol), hence the above equation can be written as follows:
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