How many grams of concentrated nitric acid solution should be used to prepare $250 \mathrm{~mL}$ of $2.0…

How many grams of concentrated nitric acid solution should be used to prepare $250 \mathrm{~mL}$ of $2.0 \mathrm{M} \mathrm{HNO}_{3}$ ? The concentrated acid is $70 \% \mathrm{HNO}_{3}$
  1. $90.0 \mathrm{~g}$ conc. $\mathrm{HNO}_{3}$
  2. $70.0 \mathrm{~g}$ conc. $\mathrm{HNO}_{3}$
  3. $54.0 \mathrm{~g}$ conc. $\mathrm{HNO}_{3}$
  4. $45.0 \mathrm{~g}$ conc. $\mathrm{HNO}_{3}$

Solution

$\quad$ Molarity $(\mathrm{M})=\frac{\mathrm{wt} \times 1000}{\text { mol. wt. } \times \text { vol }(\mathrm{mL})}$
$2=\frac{\text { wt. }}{63} \times \frac{1000}{250}$
$\mathrm{wt}=\frac{63}{2} \mathrm{~g}$
wt. of $70 \%$ acid $=\frac{100}{70} \times 31.5=45 \mathrm{~g}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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