MCQ
Charcoal is mixed in $500\,ml$ of $0.5\,M$ acetic acid solution. After some time concentration of solution becomes $0.3\,M$, then find total number of molecules adsorbed on the surface of charcoal?
  • A
    $6\times10^{23}$ molecules
  • $6\times10^{22}$ molecules
  • C
    $6\times10^{24}$ molecules
  • D
    $6\times10^{21}$ molecules

Answer

Correct option: B.
$6\times10^{22}$ molecules
b
$\left(\Omega_{\mathrm{CH_3} \mathrm{COOH}}\right)_{\text {initially }}=500 \times 0.5=250\, \mathrm{m}$ moles

$\left(\Omega_{\mathrm{CH_3} \mathrm{COOH}}\right)_{\text {finally }}=500 \times 0.3=150\, \mathrm{m}$ moles

$\Rightarrow$ moles adsorbed $=250-150=100\, \mathrm{m}$ moles

${=0.1 \text { moles }}$

${=0.1 \times \mathrm{N}_{\mathrm{A}} \text { molecules }}$

${=6 \times 10^{22} \text { molecules }}$

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