what is Boyle's law please derivation
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Boyle's law (sometimes referred to as the Boyle–Mariotte law, or Mariotte's law[1]) is an experimental gas law that describes how the pressure of a gas tends to increase as the volume of the container decreases. A modern statement of Boyle's law is
The absolute pressure exerted by a given mass of an ideal gasis inversely proportional to the volume it occupies if the temperature and amount of gasremain unchanged within a closed system.[2][3]
Mathematically, Boyle's law can be stated as
{\displaystyle P\propto {\frac {1}{V}}}Pressure is inversely proportional to the volume.
or
{\displaystyle PV=k}Pressure multiplied by volume equals some constant {\displaystyle k}.
where P is the pressure of the gas, V is the volume of the gas, and k is a constant.
The equation states that the product of pressure and volume is a constant for a given mass of confined gas and this holds as long as the temperature is constant. For comparing the same substance under two different sets of conditions, the law can be usefully expressed as
{\displaystyle P_{1}V_{1}=P_{2}V_{2}.}
The equation shows that, as volume increases, the pressure of the gas decreases in proportion. Similarly, as volume decreases, the pressure of the gas increases. The law was named after chemist and physicistRobert Boyle, who published the original law in 1662.[4]
The absolute pressure exerted by a given mass of an ideal gasis inversely proportional to the volume it occupies if the temperature and amount of gasremain unchanged within a closed system.[2][3]
Mathematically, Boyle's law can be stated as
{\displaystyle P\propto {\frac {1}{V}}}Pressure is inversely proportional to the volume.
or
{\displaystyle PV=k}Pressure multiplied by volume equals some constant {\displaystyle k}.
where P is the pressure of the gas, V is the volume of the gas, and k is a constant.
The equation states that the product of pressure and volume is a constant for a given mass of confined gas and this holds as long as the temperature is constant. For comparing the same substance under two different sets of conditions, the law can be usefully expressed as
{\displaystyle P_{1}V_{1}=P_{2}V_{2}.}
The equation shows that, as volume increases, the pressure of the gas decreases in proportion. Similarly, as volume decreases, the pressure of the gas increases. The law was named after chemist and physicistRobert Boyle, who published the original law in 1662.[4]
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at constant temparature the volume of the gas is invorsley praportional to the volume of the pressure
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