Boyle's law
(1) In the year 1662, Robert Boyle discovered the first of several relationships among the gas variables (P, T, V).
(2) It states that, For the fixed amount of a gas at the constant temperature, the gas volume is inversely proportional to the gas pressure.
Thus, 
at constant temperature and mass
or p = K/V (where K is constant)
or PV = K or P1V1 =P2V2 = K (For two or more gases)
(3) The Graphical representation of the Boyle's law: The graph between P and V at the constant temperature is called as isotherm and is an equilateral (or the rectangular) hyperbola. By plotting P versus 1/V, this hyperbola can be converted to the straight line. The other types of isotherms are also shown as follows,
(4) At the constant mass and temperature the density of the gas is directly proportional to its pressure and is inversely proportional to the volume of it.
Therefore, 
or 
(5) At the altitudes, as P is low d of air is less. That is why the mountaineers carry oxygen cylinders along with them.
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