Derive the ideal gas equation of boyle's charle's and avogadro's laws
Answers
Explanation:
There are several ways to derive the Ideal Gas Law, but the simplest way is to use the three simple gas laws.
AVOGADRO'S LAW states the volume of a gas is directly proportional to the number of moles.
V ∝ n
BOYLE'S LAW states that the volume of a gas is inversely proportional to its pressure.
V ∝ 1/P
CHARLES'S LAW states that the volume of a gas is directly proportional to its Kelvin temperature.
V ∝ T
If we combine these laws, we get
V ∝ nT/P
We covert 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
Answer:
The Ideal Gas Law can be derived in several ways, but the simplest is to use the three simple gas laws.
According to AVOGADRO'S LAW, the volume of a gas is directly proportional to the number of moles.
V ∝ n
According to BOYLE'S LAW, the volume of a gas is inversely proportional to its pressure.
V ∝ 1/P
According to CHARLES' LAW, the volume of a gas is directly proportional to its Kelvin temperature.
V ∝ T
When these laws are combined, we get
V ∝ nT/P
We convert proportionality to equality.
V = knT/P
We obtain by replacing k with the universal gas constant R
V = nRT/P
This can be changed to produce the IDEAL GAS LAW.
PV = nRT
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