Boyle.27s_law Gas

boyle s equipment.

boyle s law perhaps first expression of equation of state. in 1662 robert boyle performed series of experiments employing j-shaped glass tube, sealed on 1 end. mercury added tube, trapping fixed quantity of air in short, sealed end of tube. volume of gas measured additional mercury added tube. pressure of gas determined difference between mercury level in short end of tube , in long, open end. image of boyle s equipment shows of exotic tools used boyle during study of gases.

through these experiments, boyle noted pressure exerted gas held @ constant temperature varies inversely volume of gas. example, if volume halved, pressure doubled; , if volume doubled, pressure halved. given inverse relationship between pressure , volume, product of pressure (p) , volume (v) constant (k) given mass of confined gas long temperature constant. stated formula, is:

p
v
=
k


{\displaystyle pv=k}

because before , after volumes , pressures of fixed amount of gas, before , after temperatures same both equal constant k, can related equation:

p

1



v

1


=

p

2



v

2


.


{\displaystyle \qquad p_{1}v_{1}=p_{2}v_{2}.}