Question

The No.of molecules in 8.96L of a gas approxmately

Answer 1

★$\color{darkblue}\underline{\underline{\sf Given-}}$

• 8.96 L of gas

★$\color{darkblue}\underline{\underline{\sf To \: Find-}}$

• No. of molecule in 8.96 L of gas

★$\color{darkblue}\underline{\underline{\sf Formula \: Used -}}$

$\color{violet}\bullet\underline{\boxed{\sf Mole\:(n)=\dfrac{Volume}{22.4}}}$

$\color{violet}\bullet\underline{\boxed{\sf No. \: of \: molecule (N)=nN_A}}$

${\sf N_A=Avogadro \: Number =6.023×10^{23}}$

★$\color{darkblue}\underline{\underline{\sf Solution-}}$

$\implies{\sf mole (n)=\dfrac{Volume}{22.4}}$

$\implies{\sf n=\dfrac{8.96}{22.4}}$

$\color{orange}\implies{\sf n=0.4}$

___________________________________

$\implies{\sf No. \: of \: molecules=nN_A}$

$\implies{\sf N=0.4×6.023×10^{23} }$

$\color{red}\implies{\sf N=2.4×10^{23}\: molecules}$

★$\color{darkblue}\underline{\underline{\sf Answer-}}$

Number of Molecules is $\color{red}{\sf 2.4×10^{23}}$