MCQ
$250\, \mathrm{~mL}$ of $0.5\, \mathrm{M}\, \mathrm{NaOH}$ was added to $500\, \mathrm{~mL}$ of $1\, \mathrm{M}\, \mathrm{HCl}$ The number of unreacted $\mathrm{HCl}$ molecules in the solution after complete reaction is $......\,\times 10^{21}$. (Nearest integer) $\left(\mathrm{N}_{\mathrm{A}}=6.022 \times 10^{23}\right)$
  • $226$
  • B
    $235$
  • C
    $462$
  • D
    $521$

Answer

Correct option: A.
$226$
a
We known that no. of moles $=\text { Vlitre } \times \text { Molarity and No. of millimoles }=V_{m l} \times \text { Molarity }$

$\text { so millimoles of } \mathrm{NaOH}=250 \times 0.5=125$

$\text { Millimoles of } \mathrm{HCl}=500 \times 1=500$

$\text { Now reaction is }$

$\mathrm{NaOH}+\mathrm{HCL} \rightarrow \mathrm{NaCl}+\mathrm{H}_{2} \mathrm{O}$

$\mathrm{t}=0 \quad 125\quad 500 \quad 0 \quad 0$

$\mathrm{t}=0 \quad 0 375 \quad 125 \quad 125$

$\text { so millimoles of } \mathrm{HCl} \text { left }=375$

$\text { Moles of } \mathrm{HCl}=375 \times 10^{-3}$

$\text { No. of } \mathrm{HCl} \text { molecules }=6.022 \times 10^{23} \times 375 \times 10^{-3}$

$=225.8 \times 10^{21}$

$\approx 226 \times 10^{21}=226$

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