In our previous post, we were concentrated over the
various articles in relation of bearings e.g. how to understand bearing numbers. Today we will start our discussion with equation of state for a
perfect gas.
Boyle’s Law
Gases have various important properties or variables
such as pressure, volume, mass and temperature. These variables of gases are
related with each other and magnitude of these variables or properties will
determine the state of gas.
According to Robert Boyle, there will be one
relationship between volume and pressure for a gas of fixed mass at constant
temperature.
According to Robert Boyle, at constant temperature
and for a fixed mass of gas, absolute pressure of the gas will be inversely
proportional to volume of gas.
If absolute pressure of the gas is P and volume of
the gas is V, at constant temperature and for a fixed mass of gas, we will have
following relationship between absolute pressure P and volume V
It could also
be defined as product of pressure and volume will be constant for a gas of
fixed mass and constant temperature.
Above relationship is designated as Boyle’s Law as
it was provided by Robert Boyle.
Let us understand Boyle’s Law with one example
Let we have a gas contained in a jar and with a provision
of piston at top as shown in figure.
Let at starting the gas has pressure 1 bar
and volume 5 m3. Now we are increasing load on the top of piston for increasing
the pressure while keeping temperature and mass of gas constant.
At starting, PV= 5 bar-m3
As we increase the pressure, volume of gas starts to
reduce. When pressure becomes 1.5 bar, volume reduced to 3.333 m3.
At final state, PV = 5 bar-m3
Or
PV = constant,
Robert Boyle has taken following variables as constant
- Temperature of gas
- Mass of the gas
Image courtesy: Google
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suggestions
We will continue our discussion with another equation
of state for a perfect gas i.e. Charles’s law
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