Two commercial hydrochloric acid solutions are available: HCl by mass with density at…

CHEMISTRY · Numerical · AP · Chemistry · Atomic Structure and Properties · Atomic Structure and Properties

Problem

Two commercial hydrochloric acid solutions are available:

12.0\%

HCl by mass with density

1.05\,\text{g mL}^{-1}

at a cost of 0.05 dollars per mL, and

37.0\%

HCl by mass with density

1.19\,\text{g mL}^{-1}

at a cost of 0.20 dollars per mL. A plant must produce

500\,\text{mL}

of a

20.0\%

HCl solution by mass at the lowest possible cost, assuming volumes are additive. Calculate the volume, in millilitres, of the

37.0\%

solution that should be used.