Aflexible container at an initial volume of 3.10 l contains 7.51 mol of gas. more gas is then added to the container until it reaches a final volume of 11.9 l. assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

Number of moles added: 21,319

There are several gas equations in various processes:

• 1. The ideal ideal gas equation

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 = mole

No = Avogadro number (6.02.10²³)

n = m / m

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

• 3. Boyle's Law

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

• 4. Charles's Law

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

• 5. Gay Lussac's Law

When the volume is not changed, the gas pressure in the tube is proportional to its absolute temperature

• 6. Law of Boyle-Gay-Lussac

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

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

The initial condition of A flexible container

initial volume: 3.10 l contains 7.51 mol of gas

final volume: 11.9 l

we use Avogadro's hypothesis

V1: V2 = n1: n2

Number of moles added:

 28,829-7.51 = 21,319 mol

Which equation agrees with the ideal gas law

link

link

Which law relates to the ideal gas law

link