ideal gas laws with derivations
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There are several ways to derive the ideal gas law , but the simplest way is to use the three simple gas laws :
1) Avogadro's law : Avogadro's law states the volume of a gas is directly proportional to the number of moles .
V is directly proportional to n
2) Boyle's law : Boyle's law states that the volume of a gas is inversely proportional to its pressure .
V is inversely proportional to P
3)Charles's law : Charles's law states that the volume of a gas is directly proportional to its Kelvin temperature.
V is directly proportional to T
If we combine these laws, we get
V is directly proportional to nT / P
We convert the proportionality to an equality
V= knT/P
We replace k with the universal gas constant R and get
V=nRT/P
This can be rearranged to give the Ideal Gas Law :
PV = nRT
I hope it will help you .
1) Avogadro's law : Avogadro's law states the volume of a gas is directly proportional to the number of moles .
V is directly proportional to n
2) Boyle's law : Boyle's law states that the volume of a gas is inversely proportional to its pressure .
V is inversely proportional to P
3)Charles's law : Charles's law states that the volume of a gas is directly proportional to its Kelvin temperature.
V is directly proportional to T
If we combine these laws, we get
V is directly proportional to nT / P
We convert the proportionality to an equality
V= knT/P
We replace k with the universal gas constant R and get
V=nRT/P
This can be rearranged to give the Ideal Gas Law :
PV = nRT
I hope it will help you .
Answered by
30
Answer:
The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations.
Formula - PV = nRT
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