What volume of concentrated hydrochloric acid (12.0 m hcl) is required to make 2.0 liters of a 3.0 m hcl solution?

Given:

12.0 M HCl

2.0 liters of a 3.0 M HCl

Required:

volume of concentrated hydrochloric acid

Solution:

M1V1 = M2V2

(12.0 M HCl)V1 = (3.0 M HCl)( 2.0 liters)

V1 = (3.0 M HCl)( 2.0 liters)/ (12.0 M HCl)

V1 = 0.5 liters

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