What volume of decimolar solution should be m | vedclass

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Question

(A) Let the volume of the decimolar $(0.1 \, M)$ solution be $V \, mL$.Using the molarity equation for mixing two solutions of the same solute:$M_1V_1

Vedclass · Accepted Answer

$333.33$

Vedclass · Answer

(A) Let the volume of the decimolar $(0.1 \, M)$ solution be $V \, mL$.Using the molarity equation for mixing two solutions of the same solute:$M_1V_1 + M_2V_2 = M_3(V_1 + V_2)$Here,$M_1 = 0.1 \, M$,$V_1 = V$,$M_2 = 0.5 \, M$,$V_2 = 200 \, mL$,and the final molarity $M_3 = 0.25 \, M$.Substituting the values:$0.1 	imes V + 0.5 	imes 200 = 0.25 	imes (V + 200)$$0.1V + 100 = 0.25V + 50$$100 - 50 = 0.25V - 0.1V$$50 = 0.15V$$V = \frac{50}{0.15} = 333.33 \, mL$.

What volume of decimolar solution should be mixed in a solution of the same solute $(0.5 \, M, \, 200 \, mL)$ to make it $0.25 \, M$?

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