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Explain : Gay Lussac.s Law. |
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Answer» Solution :Pressure in well inflated tyres of automobiles is almost constant, but on a hot summer day tyre may burst if pressure is not adjusted properly. During winters on a COLD morning one may find the pressure in the tyres of a vechicle decreased considerably. Law :At constant volume, pressure of a fixed amount of a gas varies directly with the temperature. The rule as mathematically : `p prop T` (at constant V) ....(Eq. - i) and `p=K_(3)T` (at constant V) ....(Eq. -ii) So, `(p)/(T)=K_(3)=` constant.....(Eq.-iii) Law : ..At constant volume ratio of pressure and ABSOLUTE temperature of gas is constant... Formula of changes of temperature and pressure at constant volume : Suppose, at constant volume initial pressure is `p_(1)` and initial temperature `T_(1)` and final pressure is `p_(2)` and final temperature is `T_(2)`. According to GAY Lussac.s Law, `(p_(1))/(T_(1))=k_(3)=(p_(2))/(T_(2))` Thus, `(p_(1))/(T_(1))=(p_(2))/(T_(2)) ""`....(Eq. -iv) and `(p_(1))/(p_(2))=(T_(1))/(T_(2)) ""` ....(Eq. -v) and `p_(1)T_(2)=p_(2)T_(2) ""`.....(Eq. - vi) Isocore Graph : Pressure vs temperature (Kelvin) graph at constant molar volume is shown in Fig.  The graph is a strait line with positive slope. Each line of DIFFERENT volume `(V_(1),V_(2),V_(3),V_(4))` are isochore. All the isohores expanded to low temperature are gathered at origin point. `therefore` At zero K temperature, pressureis zero therefore at zero K temperature there is no gaseous state. We can get Gay Lussac.s law by using Boyle.s and Charle.s law. |
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