Question

molar volume is the volume of occupied by 1 mole of any ideal gas at standard temperature and pressure one atmospheric pressure 0° Celsius so that it is 22.4 litre​

Answer 1

$\huge\underline{\underline{\bf \orange{Question}}}$

Molar volume is the volume of occupied by 1 mole of any ideal gas at standard temperature and pressure 1atm 0°C so that it is 22.4 litre

$\huge\underline{\underline{\bf \orange{Solution}}}$

$\large\underline{\underline{\sf Given:}}$

• Mole ( n ) = 1 mole
• Temperature ( T ) = 0°C = 273K
• Pressure ( P ) = 1 atm

$\large\underline{\underline{\sf To\:Prove:}}$

• ${\sf Molar\: Volume\left(\dfrac{V}{n}\right)=22.4\:L}$

✪$\large{\boxed{\bf \blue{PV=nRT}}}$

${\boxed{\bf \dfrac{V}{n} = \dfrac{RT}{P} }}$

R = Gas Constant = 8.314 ${\sf JK^{-1}mol^{-1}}$

Pressure ( P ) = 1atm ${→}$1.013 ${\sf ×10^5\:N/m^2}$

$\implies{\sf \dfrac{8.314×273}{1.013×10^5}}$

$\implies{\sf 0.0224\:m^3 }$

$\implies{\bf \red{Molar\: Volume\left(\dfrac{V}{n}\right)=22.4\:L} }$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Hence , ${\bf \red{Molar\: Volume\left(\dfrac{V}{n}\right)=22.4\:L} }$