MCQ
Which of the following solutions have the same concentration?
  • $20g$ of $\ce{NaOH}$ in $200\ mL$ of solution.
  • B
    $0.5$ mol of $\ce{KCl}$ in $100\ mL$ of solution.
  • C
    $40g$ of $\ce{NaOH}$ in $100\ mL$ of solution.
  • D
    $20g$ of $\ce{KOH}$ in $200\ mL$ of solution.

Answer

Correct option: A.
$20g$ of $\ce{NaOH}$ in $200\ mL$ of solution.
$\text{Molarity}=\frac{\text{w}\times\text{1000}}{\text{M}\times\text{V(mL)}}$
  1. $\text{Molarity}=\frac{\text{20}\times\text{1000}}{\text{40}\times\text{200}}=2.5\text{M}$
  2. $\text{Molarity}=\frac{\text{0.5}\times\text{1000}}{\text{200}}=2.5\text{M}$
  3. $\text{Molarity}=\frac{\text{40}\times\text{1000}}{\text{(40}\times\text{100)}}=10\text{M}$
  4. $\text{Molarity}=\frac{\text{20}\times\text{1000}}{\text{(56}\times\text{200)}}=1.785\text{M}$
Thus $(a)$ and $(b)$ have the same molar concentration.

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