Gay-Lsac's Law: Statement, Formula, Explanatn, Example & FAQs

Contents:

• GAY-LSAC’S LAW: INTRODUCTN, FORMULA AND DERIVATN
• WHAT IS A REAL LIFE APPLITN THAT MONSTRAT GAY-LSAC'S GAS LAW?
• REAL LIFE GAY LSAC’S LAW EXAMPL SIX MUT – TOP 6
• WHAT IS GAY-LSAC’S LAW? ITS EXPLANATN, APPLITNS, AND LIMATNS (WH PDF)
• GAY-LSAC’S LAW
• GAY-LSAC'S GAS LAW EXAMPL
• GAY-LSAC’S LAW – DEFN, FORMULA, EXAMPL
• WHAT IS A REAL LIFE APPLITN THAT MONSTRAT GAY LSAC’S GAS LAW?
• GAY-LSAC
• TRANSLATN OF "GAY-LSAC FORM" RSIAN
• GAY-LSAC’S LAW EXAMPL
• GAY LSAC’S LAW
• JOSEPH-LOUIS GAY-LSAC

GAY-LSAC’S LAW: INTRODUCTN, FORMULA AND DERIVATN

The French chemist Joseph Gay-Lsac \((1778-1850)\) tablished the relatnship between the prsure of a gas and s absolute temperature.

Gay-Lsac’s Law stat that at nstant volume, the prsure of a given mass of gas vari directly wh the gas’s absolute temperature. Gay-Lsac’s Law is very siar to Charl’s Law; the only difference is that a Charl’s Law experiment, the ntaer is flexible, whereas, a Gay-Lsac’s Law experiment, the ntaer is rigid.

From Gay Lsac’s Law, we know that the prsure of a given mass of gas vari directly wh the gas’s absolute temperature. Hence, Gay-Lsac’s Law impli that for a gas of a fixed mass kept at a nstant volume, the ial prsure and temperature rat is equal to the rat of the fal prsure and temperature.

WHAT IS A REAL LIFE APPLITN THAT MONSTRAT GAY-LSAC'S GAS LAW?

This is bee when a prsurized aerosol n (such as a odorant) is heated, the prsure exerted by the gas on the walls of the ntaer creas(owg to Gay-Lsac’s Law) and n rult an explosn.

REAL LIFE GAY LSAC’S LAW EXAMPL SIX MUT – TOP 6

The science behd prsure okers is solely based on the relatnship between temperature and prsure (Gay Lsac’s Law). This example illtrat why you shouldn’t cerate aerosol \({{\rm{T}}_{\rm{1}}}{\rm{ = 25^\circ C = 298\, K}}\)\({{\rm{T}}_{\rm{2}}}{\rm{ = 845^\circ C = 1118\, K}}\)Next, plug the numbers to Gay-Lsac’s Law and solve for \({{\rm{P}}_{\rm{1}}}{{\rm{T}}_{\rm{2}}}{\rm{ =}}{{\rm{P}}_{\rm{2}}}{{\rm{T}}_{\rm{1}}}\)\(\left( {{\rm{3}}{\rm{. Gay Lsac’s Law n be directly applied to our daily liv, such as g prsure okers for okg food, water heaters, etc.

Ans: Gay-Lsac’s Law stat that the volume held nstant, the prsure of a gas is directly proportnal to s absolute temperature. Th, \(\ac{{\rm{P}}}{{\rm{T}}}{\rm{ = K}}\left( {{\rm{nstant}}} \right)\)Or, \(\ac{{{{\rm{P}}_{\rm{1}}}}}{{{{\rm{T}}_{\rm{1}}}}} = \ac{{{{\rm{P}}_{\rm{2}}}}}{{{{\rm{T}}_{\rm{2}}}}}\)\({{\rm{P}}_{\rm{1}}}{{\rm{T}}_{\rm{2}}} = {{\rm{P}}_{\rm{2}}}{{\rm{T}}_{\rm{1}}}\)The above equatns are the standard lculatns for Gay-Lsac’s Law. Cookg of food si prsure okers is solely based on Gay Lsac’s Law (the relatnship between temperature and prsure).

It is dangero to dispose of an aerosol n by ceratn bee heatg a prsurized aerosol n (such as a odorant) creas the prsure exerted by the gas on the walls of the ntaer (owg to Gay-Lsac’s Law) and n rult an explosn.

WHAT IS GAY-LSAC’S LAW? ITS EXPLANATN, APPLITNS, AND LIMATNS (WH PDF)

Gay Lsac Law of thermodynamics stat that when the volume of a gas is held nstant, prsure and temperature are directly proportnal to each layman’s when we heat the gas, s prsure will crease. On the other hand, I am also not nyg the fact that the science of prsure okers is solely based on the relatnship between temperature and prciple of prsure okg is as simple as Gay Lsac Law.

IntroductnStatement of Gay Lsac LawExplanatn of Gay Lsac LawLimatns of Gay Lsac LawApplitns of Gay Lsac Law Real LifePrsure okerAerosol nGun bulletAutomobile tirWater HeaterConclnIntroductnGay-Lsac’s Law is also known as the Law of Prsure or Amonton’s Law. Gay-Lsac’s law is siar to Charl’s law, the only difference beg that the term “volume” Charl’s law is replaced by the term “prsure” Gay-Lsac’s law.

GAY-LSAC’S LAW

IntroductnStatement of Gay Lsac LawExplanatn of Gay Lsac LawLimatns of Gay Lsac LawApplitns of Gay Lsac Law Real LifePrsure okerAerosol nGun bulletAutomobile tirWater HeaterConclnStatement of Gay Lsac LawFor a nstant volume of a nfed ial gas, s prsure is directly proportnal to absolute temperature at nstant the law stat, the prsure and temperature of an ial gas are directly proportnal to each other for a given volume and mass of the gas.

This statement n be exprsed mathematilly as follows:On removg the proportnaly, we get, where, k is a nstant of above exprsn n be rearranged as:Here, the Temperature shall be Kelv, and Prsure shall be measured above Gay-Lsac Formula is valid when the volume is nstant at a given mass. The above equatn clearly shows that the relatnship between prsure and temperature is pennt of prsure or temperature at nstant parg the same substance unr two different ndns, Gay-Lsac’s law n be wrten as:When the prsure of a gas obeyg the Gay-Lsac law doubl, the temperature also doubl, as explaed diagram below is a typil experimental set-up required to verify the Gay-Lsac Law. Typil experimental set-up required to verify the Gay-Lsac LawLimatns of Gay Lsac LawThe limatns of Gay Lsac Law are as follows:Gay-Lsac Law is only applible to ial ’s law appli to real gas at high temperatur and/or low high prsur, the relatnship between prsure and temperature is off.

Applitns of Gay Lsac Law Real LifeExampl of Gay-Lsac’s law clu burstg prsure okers, burstg aerosol ns, and burstg tir. The scientific reason for the explosn is explaed by Gay-Lsac’s ’s law stat that the prsure of a gas creas wh temperature and vice versa.

GAY-LSAC'S GAS LAW EXAMPL

Applitns of Gay-Lsac law Real LifeThere are many exampl of the applitn of Gay-Lsac’s Law that n be observed everyday life.

Gay-Lsac’s law is a gas law which stat that the prsure exerted by a gas (of a given mass and kept at a nstant volume) vari directly wh the absolute temperature of the gas.

Gay-Lsac’s law impli that the rat of the ial prsure and temperature is equal to the rat of the fal prsure and temperature for a gas of a fixed mass kept at a nstant volume. When a prsurized aerosol n (such as a odorant n or a spray-pat n) is heated, the rultg crease the prsure exerted by the gas on the ntaer (owg to Gay-Lsac’s law) n rult an explosn. To learn more about Gay-Lsac’s law and other gas laws, such as Charl’ law, register wh BYJU’S and download the mobile applitn on your smartphone.

GAY-LSAC’S LAW – DEFN, FORMULA, EXAMPL

The example problems e Gay-Lsac's law to fd the prsure of gas a heated ntaer as well as the temperature you would need to change the prsure of gas a ntaer. Gay-Lsac's law is a form of the ial gas law which gas volume is kept volume is held nstant, prsure of a gas is directly proportnal to s ual equatns for Gay-Lsac's law are P/T = nstant or Pi/Ti = Pf/ reason the law works is that temperature is a measure of average ketic energy, so as the ketic energy creas, more particle llisns occur and prsure creas. To solve the problem, jt work through the followg steps:The cylr's volume remas unchanged while the gas is heated so Gay-Lsac's gas law appli.

Gay-Lsac's gas law n be exprsed as:Pi/Ti = Pf/TfwherePi and Ti are the ial prsure and absolute temperaturPf and Tf are the fal prsure and absolute temperatureFirst, nvert the temperatur to absolute = 27 C = 27 + 273 K = 300 KTf = 77 C = 77 + 273 K = 350 KUse the valu Gay-Lsac's equatn and solve for = PiTf/TiPf = (6 atm)(350K)/(300 K)Pf = 7 atmThe answer you rive would be:The prsure will crease to 7 atm after heatg the gas om 27 C to 77 C. Charl’ LawCharl’s law, disvered by Jacqu Charl (1746-1823) 1787 and refed by Joseph Louis Gay-Lsac (1778-1850) 1808, stat that at nstant prsure, the volume is directly proportnal to absolute temperature, for a fixed mass of a gas:. Gay-Lsac’s LawGay-Lsac’s Law or Third Gas Law stat that for a nstant volume, the prsure is directly proportnal to absolute temperature:.

WHAT IS A REAL LIFE APPLITN THAT MONSTRAT GAY LSAC’S GAS LAW?

4 lers at standard temperature and Gas LawThe ial gas law is a batn of Boyle’s law, Charl’s law, Gay-Lsac’s law, and Avogadro’s law:.

GAY-LSAC

We n then apply Charl’s law; as room temperature is 293 K (273+20), to work out that there are (1477/273)x293 = 1585 lers of nro oxi remag the ’s LawGay-Lsac’s law scrib the relatnship between prsure and temperature and appli the mechanism of prsure relief valv on gas cylrs. Most physlogil procs variably occur at 37 gre C, so there are few clil applitns of Gay-Lsac’s Gas LawOne clil applitn of the ial gas law is lculatg the volume of oxygen available om a cylr. Joseph-Louis Gay-Lsac, (born December 6, 1778, Sat-Léonard--Noblat, France—died May 9, 1850, Paris), French chemist and physicist who pneered vtigatns to the behavur of gas, tablished new techniqu for analysis, and ma notable advanc applied chemistry.

Gay-Lsac was the elst son of a provcial lawyer and royal official who lost his posn wh the French Revolutn of 1789.

TRANSLATN OF "GAY-LSAC FORM" RSIAN

Early his schoolg, Gay-Lsac acquired an tert science, and his mathematil abily enabled him to pass the entrance examatn for the newly found Éle Polytechnique, where stunts’ expens were paid by the state. At Arcueil, Berthollet was joed by the ement mathematician Pierre-Simon Laplace, who engaged Gay-Lsac experiments on pillary orr to study short-range forc. He later wrote, “If one were not animated wh the sire to disver laws, they would often pe the most enlightened attentn.” Of the laws Gay-Lsac disvered, he remas bt known for his law of the bg volum of gas (1808).

Gay-Lsac’s approach to the study of matter was nsistently volumetric rather than gravimetric, ntrast to that of his English ntemporary John Dalton. Another example of Gay-Lsac’s fondns for volumetric rats appeared an 1810 vtigatn to the posn of vegetable substanc performed wh his iend Louis-Jacqu Thenard.

GAY-LSAC’S LAW EXAMPL

In a followg solo flight, Gay-Lsac reached 7,016 metr (more than 23,000 feet), thereby settg a rerd for the hight balloon flight that remaed unbroken for a half-century.

In 1805–06, amid the Napoleonic wars, Gay-Lsac embarked upon a European tour wh another Arcueil lleague, the Pssian explorer Alexanr von Humboldt. Gay-Lsac’s rearch together wh the patronage of Berthollet and the Arcueil group helped him to ga membership the prtig First Class of the Natnal Instute (later the Amy of Scienc) at an early stage his reer (1806).

Three years prevly Gay-Lsac had been appoted to the junr post of répétr at the Éle Polytechnique where, 1810, he received a profsorship chemistry that clud a substantial salary. Gay-Lsac’s appotment to the faculty of the Éle Polytechnique 1804 provid him wh laboratory facili the centre of Paris.

GAY LSAC’S LAW

Rivalry between Gay-Lsac and Davy reached a climax over the de experiments Davy rried out durg an extraordary vis to Paris November 1813, at a time when France was at war wh Bra. Gay-Lsac prented a much more plete study of de a long memoir prented to the Natnal Instute on Augt 1, 1814, and subsequently published the Annal chimie. In 1815 Gay-Lsac experimentally monstrated that pssic acid was simply hydrocyanic acid, a pound of rbon, hydrogen, and nrogen, and he also isolated the pound cyanogen [(CN)2 or C2N2].

JOSEPH-LOUIS GAY-LSAC

Begng 1816, Gay-Lsac served as the jot edor of the Annal chimie et physique, a posn he shared wh his former Arcueil lleague François Arago.

Still, Gay-Lsac did not pe cricism om lleagu for turng away om the path of “pure” science and toward the path of fancial ga. Prevly a few c trials had been rried out to timate the strength of chlore solutns bleachg, but Gay-Lsac troduced a scientific rigour to chemil quantifitn and vised important modifitns to apparat. The prcipl of volumetric analysis uld be tablished only through Gay-Lsac’s theoretil and practil geni but, once tablished, the analysis self uld be rried out by a junr assistant wh brief trag.

Gay-Lsac published an entire seri of Instctns on subjects rangg om the timatn of potash (1818) to the nstctn of lightng nductors. In 1848 (the year of revolutns) Gay-Lsac rigned om his var appotments Paris, and he retired to a untry hoe the neighbourhood of his youth that was stocked wh his library and a private laboratory. In the sprg of 1850, realizg that he was dyg, he asked his son to burn a treatise he had begun lled “Philosophie chimique.” In a logy livered after his ath at the Amy of Scienc, his iend, the physicist Arago, summed up Gay-Lsac’s scientific work as that of “an gen physicist and an outstandg chemist.”.