Mole ConceptHard

Question

Two samples of HCl of 1 M and 0.25 M are mixed. Find volumes of these samples taken in order to prepare 0.75 M HCl solution. Assume no water is added
(I) 20 mL, 10 mL                   (II) 100 mL, 50 mL
(III) 40 mL, 20 mL                (IV) 50 mL, 25 mL

Options

A.I, II, IV
B.I, II
C.II, III, IV
D.I, II, III, IV

Solution

M1 = 1.0 M, M2 = 0.25 M
Let V1 and V2 are volumes required.
(1.0 × V1 + 0.25 × V2) = 0.75 (V1 + V2)
⇒ 0.25V1 = 0.5V2, ⇒ V1 : V2 = 2 : 1

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