Which law states that the volume and absolute temperature of a fixed quantity of gas are directly proportional under constant pressure conditions?

Respuesta :

Charles's Law states that the volume and absolute temperature of a fixed quantity of gas are directly proportional under constant pressure conditions

Further explanation

There are several gas equations in various processes:

  • 1. The general ideal gas equation

PV = nRT

PV = NkT

N = number of gas particles

n = number of moles

R = gas constant (8,31.10 ^ 3 J / kmole K

k = Boltzmann constant (1,38.10 ^ -23)

n = = N / No

n = m / M

n = mole

No = Avogadro number (6.02.10 ^ 23)

m = mass

M = relative molecular mass

  • 2. Avogadro's hypothesis

In the same temperature and pressure, in the same volume conditions, the gas contains the same number of molecules

So it applies: the ratio of gas volume will be equal to the ratio of gas moles

V1: V2 = n1: n2

2. Boyle's Law

At a fixed temperature, the gas volume is inversely proportional to the pressure applied

p1.V1 = p2.V2

  • 3. Charles's Law

When the gas pressure is kept constant, the gas volume is proportional to the temperature

V1 / T1 = V2 / T2

  • 4. Gay Lussac's Law

When the gas is heated in a tube whose volume does not change, the gas pressure in the tube is proportional to its absolute temperature

P1 / T1 = P2 / T2

  • 5. Law of Boyle-Gay-Lussac

Combined with Boyle's law and Gay Lussac's law

P1.V1 / T1 = P2.V2 / T2

P1 = initial gas pressure (N / m2 or Pa)

V1 = initial gas volume (m3)

P2 = gas end pressure

V2 = the final volume of gas

T1 = initial gas temperature (K)

T2 = gas end temperature

So the correct answer is Charles' Law, where at constant pressure, the volume of gas will be inversely proportional to its temperature

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[tex]\boxed{{\text{Charles's law}}}[/tex] states that volume occupied by a fixed quantity of a gas is directly proportional to the absolute temperature (Kelvin) at constant pressure.

Further Explanation:

Charles’s law:

Charles’s work showed that at constant pressure, the volume-temperature relationship for a fixed amount of gas is linear. In other words, Charles’s law can be stated that at constant pressure, the volume occupied by a fixed amount of a gas is directly proportional to its absolute temperature (Kelvin). This relationship is known as Charles’s law.

The mathematical representation of Charles’s law is,

[tex]{\mathbf{V}} \propto {\mathbf{T}}[/tex]                   [P and n are constant]

Where,

  • V is volume occupied by the fixed quantity of gas.
  • T is the temperature of a gas.
  • P is the pressure of a gas.
  • n denotes the number of moles of gas.

The relationship can also be expressed as,

[tex]\frac{{\mathbf{V}}}{{\mathbf{T}}}{\mathbf{ = constant}}[/tex]                                    [P and n are constant]

Or,

[tex]\frac{{{{\mathbf{V}}_{\mathbf{1}}}}}{{{{\mathbf{T}}_{\mathbf{1}}}}}{\mathbf{ = }}\frac{{{{\mathbf{V}}_{\mathbf{2}}}}}{{{{\mathbf{T}}_{\mathbf{2}}}}}[/tex]                      [P and n are constant]

Results of Charles’s law are as follows:

  • At constant pressure, if the volume of gas increases then the temperature also increases.
  • At constant pressure, if the volume of gas decreases then the temperature also decreases.

The volume (L) versus temperature (T) curve of Charles’s law is represented in the attached diagram.

Learn more:

1. Law of conservation of matter states: https://brainly.com/question/2190120

2. Calculation of volume of gas: https://brainly.com/question/3636135

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Ideal gas of equation

Keywords: Charles’s law, volume, temperature, pressure, volume temperature relationship, absolute temperature, constant pressure, relationship, V directly proportional to T, ideal gas, ideal gas equation number of moles, moles.

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