Question

What is an ideal gas or perfect gas? State equation of an ideal gas.

Answer 1

$\Huge \text{Ideal\: Gas }$

✍ It is the gas which satisfies the relation

PV = n RT.

$\Large \text{OR }$

✍ It is the gas which obeys Boyle's law and Charles law.

$\large \text{Equation\: Of\: State\: of\: Ideal\: Gas }$

✍ PV = n RT for n moles of gas ,

✍ PV = RT for n = 1 mole of gas ,

✍ Where P is the pressure of 1 mole of ideal gas.

✍ V is the volume of ideal gas at temperature T.

✍ R is the universal gas constant.

$\Huge \text{NOTE }$

✍ This equation is applicable for real gases at low prices for fat high temperatures. This is because, at low Pressures or at High temperatures, the molecules are far apart and molecular interactions are negligible. without without interactions the gas behaves like an ideal gas.

Answer 2

$\huge{\mathcal{\underline{\pink{AnsWer:-}}}}$

A gas which obeys all the conditions of temperature and pressure is called an Ideal gas . Th Ideal gas equation is obtained by combining the three laws i.e, Boyle's law , Charle's law , Avogadro's law.

$\large\rm{V\:\alpha\:\frac{1}{P}\:at\:constant\:temperature\:(Boyle's\:law)}$

$\large\rm{V\alpha\:T\:at\:Constant\:Pressure\:(Charles\:law)}$

$\large\rm{V\alpha\:n\:at\:Constant\:pressure\:and\:temperature\:(Avagadro's\:law)}$

Ideal gas equation is given by ,

$\large\rm\bold{\underline{\boxed{PV\:=\:nRT}}}$

$\large\rm{P\rightarrow{Pressure\:of\:the\:gas}}$

$\large\rm{V\rightarrow{Volume\:of\:the\:gas}}$

$\large\rm{n\rightarrow{Number\:of\:moles}}$

$\large\rm{T\rightarrow{Temperature\:of\:the\:gas}}$

Where R is Universal gas constant , molar gas constant (or) proportionality constant .

$\huge\tt{\underline{\underline{\green{Additional\:Information:}}}}$

Values of R in different units ,

❃ R = 0.0821 lit.atm.mol⁻¹.K⁻¹

❃ R = 8.314 × 10⁷ erg.mol⁻¹.K⁻¹

❃ R = 8.314 × 10⁷ dyne.cm.mol⁻¹.K⁻¹

❃R = 8.314 Joule.mol⁻¹.K⁻¹

❃ R = 1.987 cal.mol⁻¹.K⁻¹