Derive the ideal gas equation from Boyles, Charles and Avogadros law. Please guys help me
Answers
Answer:
according to Boyles law pressure is directly proportional to volume
p=kv........(1)
according to avagadros law, volumee is directly proportional to no. of moles of gas.
p=kv.......(2)
according to Charles law, volume is directly proprioceptional to temperature.
v=kT....(3)
from all this equation we get
pv=nrt....which is ideal gas equation
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