Theresa morgan, a chemist, has a 15% hydrochloric acid solution and a 65% hydrochloric acid solution. how many liters of each should she mix to get 390.625 liters of a hydrochloric acid solution with a 49% acid concentration?

125 L of 15% and 265.625 L of 65% HCl

Explanation:

let x =  volume of 15% HCl, y = 65% HCl

15x + 65y = 49 × 390.625

15x + 65y = 19140.625

x + y = 390.625

x = 390.625  -  y

substitute for x in equation 1

15 (390.625 - y) + 65y = 19140.625

5859.375 - 15 y + 65 y =  19140.625

50 y = 19140.625 - 5859.375 = 13281.25

y = 132181.25 / 50 = 265.625 L

X = 390.625  -  y = 390.625 - 265.625 = 125 L

mechanics (greek   is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment. the scientific discipline has its origins in ancient greece with the writings of aristotle and archimedes[1][2][3] (see history of classical mechanics and timeline of classical mechanics). during the early modern period, scientists such as galileo, kepler, and newton laid the foundation for what is now known as classical mechanics. it is a branch of classical physics that deals with particles that are either at rest or are moving with velocities significantly less than the speed of light. it can also be defined as a branch of science which deals with the motion of and forces on objects. the field is yet less widely understood in terms of quantum theory.

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