Question

A person is considered legally intoxicated in most states with a blood alcohol level of 80.0 mg/dl. calculate this concentration in ppm if the density of blood plasma is 1.023 g/ml.

Answer 1

The concentration expressed in parts per million is 782 ppm.

What is Parts per million?

It is calculated by dividing the mass of the solution by the mass of a solute present in one million (10⁶) parts.

Calculation for units in ppm:

Given:

Mass of  blood alcohol =  80 mg/dL = 80 x $10^{5}$ g/mL

Density of blood plasma or Mass of blood plasma = 1.023 g/mL

Concentration in ppm = (Mass of alcohol/Mass of plasma) x $10^{6}$

= (80 x $10^{5}$ g/mL/ 1.023 g/mL) x $10^{6}$

= 782 ppm

Hence, the concentration expressed in parts per million is 782 ppm.

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