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Avogadro's Law (V– n Relationship) :At constant pand T.

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V ∝ n

V = kn

• This law states that equal volumes of all gases under similar conditions of temperature and pressure contain equal number of molecules. 

• No. of molecules in one mole of a gas = 6.022 x 1023 = NA (Avogadro constant). 

• Molar Volume – Volume occupied by one mole of each substance.

• It contains the same number of molecules i.e. NA .

Molar Volume at different T and P are as follows :

• STP : Standard Temperature and Pressure

• NTP : Normal Temperature and Pressure

• SATP : Standard Ambient Temperature and Pressure

No. of moles, n = \(\frac{N}{N_A}\) (N = no. of molecules)

where, d = density of the gas

⇒density of a gas ∝ molar mass (M)

Ideal gas equation or Equation of State

- It describes the state of any gas

- Combine Boyle's law, Charles' law and Avogadro's law

V \(\propto \frac{1}{P}\)(at constant T & n) Boyle's Law

V ∝ T(at constant p& n) Charles Law

V ∝ n (at constant T& P) Avogadro's Law

It is the approximate equation of state of any gas and becomes increasingly exact as pressure of the gas approaches zero.

R = Universal Gas Constant.

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