Question

derive ideal gas equation ?

Answer 1

✔️✔️What is an ideal gas?

⭕️Gas obeying Boyle’s , Charle’s law  and Avogadro’s law under the conditions of temperature and pressure is called an ideal gas.  


✔️✔️derivation :-


V ∝ n [P, T constant] 

using Avogadro’s law   ;

V ∝ T [n, P constant]  

using Charle’s law ;

V ∝ 1/P [n, T constant] 

using Boyle’s law  ;

now we can say that the combined gas law :-

V ∝ nT / p

or pV ∝ nT  

 pV = nRT  

R === constant of proportionality / universal gas constant  .

✔️✔️The value of R =

R = 8.314 J mol-1 K-1 


$\huge\bf{\red{\mathfrak{thank \: you :)}}}$

Answer 2

A gas that follow laws like .. Boyles law, Charles law, Avogadro law is known as Ideal gas law. 

i.e.

PV = nRT

• Explanation :

According to Boyles law. At constant temperature (T) and number of moles (n).

V α $\dfrac{1}{P}$ ______ (eq 1)

According to Charles law. At constant pressure (P) and number of moles (n).

V α $\dfrac{1}{T}$ _______ (eq 2)

According to Avogadro law. At constant pressure (P) and temperature (T).

V α n _______ (eq 3)

On combining (eq 1), (eq 2) and (eq 3) we get;

V α $\dfrac{nR}{T}$

V = R $\dfrac{nT}{P}$

PV = nRT

_____________________________