Problema Solution

dextrose 5% in water (d5w) is useful to provide liquids and energy to a body via IV. anything over 5% consentration is hypertonic (can draw water out of cells) and can only be infuse slowly. the doctor has order dextrose 10% in water (d10w) to be administer. you have a partial-fill container with 200 ml of dextrose 30% in water (d30w) and must delute it to 10%. tou have no pure sterile water on hand so will use d5w instead. how much d5w should you add to the container to deluts the d30w to d10w

Answer provided by our tutors

200ml of d30w to convert into d10w.

 

in 200ml - 30% water is there so to become 10% content.

x amount of 5% water need to be added.

 

200 = 200*0.3 ml is water and 200*0.7 ml is the destrose.

 

(200*0.3+x*0.05)/(200+x) = 0.1

60+0.05x=20+0.1x

40 = 0.05x

 

x= 800ml