Question

derive ideal gas equation​

Answer 1

Answer:

♥　 ①　 $\rm\underline\red{According~to~ Boyle's~Law~:-}$

At constant number of moles and temperature the volume is inversely proportional to pressure .

• v ∝ $\frac{1}{P}$ → (i)

♥ ②　 $\rm\underline\red{According~to~Charle's~Law~:-}$

At constant pressure and temperature the volume is directly proportional to temperature

• v ∝ T → (ii)

♥　③ $\rm\underline\red{According~to~ Avogadro~Law~:-}$

At constant pressure and temperature the volume is directly proportional to number of moles of gas .

• v = no. of moles → (iii)

$\huge\blue{From~above~3~ eqautions}$

◆ v ∝ $\frac{nT}{P}$ $\red{Or}$ pv = nRT

• ↑ It is a ideal gas equation.

Where ,

• R = Universal Gas Constant
• v = volume
• T = temperature
• n = no. of moles of the gas

◗ 　The value of R is $\pink{8.314~J/mol-k}$ .