JEE MAIN - Chemistry (2022 - 26th June Morning Shift - No. 1)

A commercially sold conc. HCl is 35% HCl by mass. If the density of this commercial acid is 1.46 g/mL, the molarity of this solution is:

(Atomic mass : Cl = 35.5 amu, H = 1 amu)

10.2 M
12.5 M
14.0 M
18.2 M

Explanation

35% HCl by mass means in 100 gm HCl solution 35 gm HCl present.

Now, volume of 100 gm HCl solution

$$ = {{100} \over {1.46}}$$ ml

$$ = {{{{100} \over {1.46}}} \over {1000}}$$ l

Moles of HCl $$ = {{35} \over {36.5}}$$

Now, molarity $$ = {{moles\,of\,solute} \over {volume\,of\,solution\,(in\,L)}}$$

$$ = {{{{35} \over {36.5}}} \over {{{{{100} \over {1.46}}} \over {1000}}}} = 14$$

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