Explain how the ideal gas law contains within it the simple gas laws (show an example).

Name: Problem 12, Chapter 5: Chemistry A Molecular Approach
Uploaded: 2019-06-15T20:25:09-08:00
Duration: 7 min 56 s
Channel: Matthew Bamidele
Description: Explain how the ideal gas law contains within it the simple gas laws (show an example).

step 1 I guess I'm here to answer question number 12. Which says, explain how ID gas law, how ID gas la

Explain how the ideal gas law contains within it the simple...

Key Concepts

Ideal Gas Law

The ideal gas law is a unified equation, PV = nRT, that describes the state of an ideal gas by linking pressure, volume, temperature, and the number of moles. It encapsulates the behavior of gases under various conditions by assuming idealized interactions where the volume of individual gas molecules is negligible and no intermolecular forces exist. This law serves as a comprehensive framework from which the simpler gas laws can be derived under specific conditions.

Boyle's Law

Boyle's Law states that the pressure of a gas is inversely proportional to its volume when the temperature and the number of moles are held constant (i.e., PV = constant). Within the context of the ideal gas law, if temperature and moles are fixed, the equation simplifies to this inverse relationship, demonstrating how an increase in volume leads to a decrease in pressure, and vice versa.

Charles's Law

Charles's Law states that the volume of a gas is directly proportional to its absolute temperature when pressure and the number of moles are constant (i.e., V/T = constant). When applying the ideal gas law under these conditions, the equation simplifies to show that as the temperature increases, the volume of the gas increases proportionally, emphasizing the temperature-volume relationship.

Gay-Lussac's Law

Gay-Lussac's Law indicates that the pressure of a gas is directly proportional to its absolute temperature when the volume and the number of moles are constant (i.e., P/T = constant). In the ideal gas law, maintaining fixed volume and moles leads to this direct proportionality, illustrating how pressure increases with temperature.

Avogadro's Law

Avogadro's Law conveys that the volume of a gas is directly proportional to the number of moles present, provided that the temperature and pressure remain constant (i.e., V/n = constant). This law is inherently included in the ideal gas law; by keeping temperature and pressure constant, the relationship directly shows that doubling the amount of gas will double the volume, highlighting the proportionality between volume and the number of moles.

Transcript

00:01 I guess i'm here to answer question number 12.

00:04 Which says, explain how id gas law, how id gas law contains within need the simple gas law.

00:34 So to explain what are the simple gas law, what is id gas law? id gas law is pv equals nrt.

00:47 That is id gas.

00:48 And the simple gas law i have voice love i have charge law and i forgot those those are the simple gas love so the voice law voice law state that the volume of a gas the first law is vb equals k is a constant whereas charles law is v over t because i forgot the law is v over n equals k.

01:49 So i will explain this is id gas law pv because nrt.

02:03 Now i want to explain how it contains voice law.

02:10 Law says that the volume of a given mass of gas at constant temperature is inversely proportional to the pressure so for boyce law and the number of more and t are the constant they are the contribute this k are constant so if i have pv equals n rt.

02:57 Now for boy's law, n is part of k and t is also part of k.

03:11 We all know that r is k.

03:13 So i will write p -v equals nt r.

03:21 Now we know n according to boy's law, n is constant, t is constant, and r is a constant that we know.

03:33 All these three, one would put one constant, must by another constant, we fly by another constant, say for constant.

03:44 So i would say, p, v, because f, this is boy's law.

03:52 It's standard, like b1, v1, because f2, and so on like that.

04:02 It is it.

04:05 That is for boyle law.

04:06 For charles law, charles law says that the volume of a given mass, a given matter to say, that means the amount of substance, which is a mold, is constant.

04:24 The volume of a given mass of a gas at constant pressure.

04:31 Pressure is also constant.

04:33 It's entirely proportional to volume...

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