Find the molar mass of a gas that travels at a rate of 8.50 moles per hour if fluorine gas under the same conditions travels at a rate of 12.54 moles per hour.
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.
Find the molar mass of a gas that travels at a rate of 8.50 moles per hour if fluorine gas under the same conditions travels at a rate of 12.54 moles per hour.
- graham's law of diffusion :- At a constant pressure and temperature the rate of diffusion (r) of gaseous molecule is inversely proportional to the root-mean square of the vapor density (d).
- vapor density (d) - it is the density of a vapor with respect to hydrogen. the relation between molar mass is vapour density is given by 2d = M.
where,
r1 = rate of diffusion of fluorine gas(8.50 mol/hour).
r2 = rate of diffusion of the unknown gas(12.54 mol/hour)
M2 = molar mass of the unknown gas (g mol -1)
M1 = molar mass of the fluorine gas( 38 g mol -1 )
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