ideal gas equation derivation fully
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amrethaarvind:
i asked fully equation dr
Answered by
2
HEY FOLK....
First of all this equation is hypothetical , so don't have any derivation but if u want to know from this law came than you have to rely on the three fundamental laws they are:
1) Boyle's Law
2) Charle's Law
3) Avogadro’s Law
Now let us know in detail one by one:-
Boyle's Law:- According to the Boyle’s Law, at a constant temperature, for
a fixed number of moles of a gas the volume of a gas varies inversely with its
pressure.
i.e.
V α 1/P ..............................(4)
Charle's Law:- According to the Charles’ Law, at constant pressure, the
volume of a fixed mass of a gas is directly proportional to its absolute
temperature.
i.e.
V α T...............(2)
Avogadro’s Law:- According to the Avogadro’s Law, at same temperature
and pressure, an equal volume of gases contain an equal number of
molecules.
i.e.
V α n ...................(3)
From equation (1) , (2) and (3)
=> V α nT / P
=> PV α nT
=> PV = nRT
Where, R is known as a universal gas constant. The above equation is commonly known as an ideal gas equation.
HOPE IT HELPS..
#Mme
First of all this equation is hypothetical , so don't have any derivation but if u want to know from this law came than you have to rely on the three fundamental laws they are:
1) Boyle's Law
2) Charle's Law
3) Avogadro’s Law
Now let us know in detail one by one:-
Boyle's Law:- According to the Boyle’s Law, at a constant temperature, for
a fixed number of moles of a gas the volume of a gas varies inversely with its
pressure.
i.e.
V α 1/P ..............................(4)
Charle's Law:- According to the Charles’ Law, at constant pressure, the
volume of a fixed mass of a gas is directly proportional to its absolute
temperature.
i.e.
V α T...............(2)
Avogadro’s Law:- According to the Avogadro’s Law, at same temperature
and pressure, an equal volume of gases contain an equal number of
molecules.
i.e.
V α n ...................(3)
From equation (1) , (2) and (3)
=> V α nT / P
=> PV α nT
=> PV = nRT
Where, R is known as a universal gas constant. The above equation is commonly known as an ideal gas equation.
HOPE IT HELPS..
#Mme
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