MCQ
The density of a liquid is $1.5\, g/mL$. There are $50\, drops$ in $5\, mL$. The number  of molecules in $1\, drop$ is (molecular weight of liquid is $100$)
  • A
    $1.5 \times 10^{-3}$
  • B
    $1.5 \times 10^{23}$
  • $9 \times 10^{20}$
  • D
    $9 \times 10^{26}$

Answer

Correct option: C.
$9 \times 10^{20}$
c
Volume of $\operatorname{drop}=\frac{5}{50} \,\mathrm{mL}$

No. of moles in one $\operatorname{drop}=\frac{\mathrm{d} \times \mathrm{V}}{\mathrm{mol} . \mathrm{wt} .}=\frac{5 \times 1.5}{50 \times 100}$

$=1.5 \times 10^{-3}$

Number of molecules in one drop

${=1.5 \times 10^{-3} \times \mathrm{N}_{\mathrm{A}}}$

${=1.5 \times 10^{-3} \times 6 \times 10^{23}}$

${=9.0 \times 10^{20}}$

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