state and explain boyle's law . how is law verified graphically? what is the significance of this law to the mountaineers ?
Boyle's law: Temperature remaining constant, the volume of a given mass of a gas is inversely proportional to its pressure.
Mathematically , it can be stated as:
Graphical verification of Boyle' s law:
since PV = constant, Thus it can be verified by plotting:
1) P vs 1/V when a straight line passing through the origin is obtained(Graph1)
2) PV vs P when a straight line parallel to the x-axis is obtained( graph2)
3) V vs P when branch of hyperbola in first quadrant is obtained.(graph3)
Boyle's law proves a very important fact that the gases are compressible . The more it is compressed the denser it becomes. Hence at constant temperature for a fixed mass of the density is directly proportional to pressure. At altitudes, as the atmospheric pressure is low, air is less dense. As a result less oxygen is available for breathing. So mountaineers have to carry oxygen cylinders with them.
Mathematically , it can be stated as:
Graphical verification of Boyle' s law:
since PV = constant, Thus it can be verified by plotting:
1) P vs 1/V when a straight line passing through the origin is obtained(Graph1)
2) PV vs P when a straight line parallel to the x-axis is obtained( graph2)
3) V vs P when branch of hyperbola in first quadrant is obtained.(graph3)
Boyle's law proves a very important fact that the gases are compressible . The more it is compressed the denser it becomes. Hence at constant temperature for a fixed mass of the density is directly proportional to pressure. At altitudes, as the atmospheric pressure is low, air is less dense. As a result less oxygen is available for breathing. So mountaineers have to carry oxygen cylinders with them.