Question

How many milligrams per liter of dextrose D50W?

1. Is D50W an isotonic solution?

Answer 1

Answer:- 500000 mg/L

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We have, D50W

It means 50 % dextrose in water.

I.e. 50 g dextrose present in 100 ml water

i.e. 50000 mg dextrose present in 100 ml water

(since, 1 g = 1000 mg)

Again, 1 L = 1000 ml

​​​​​​As 100 ml water = 50000 mg dextrose

then,  1000 ml (1 L) water =

=    = 500000 mg dextrose

therefore,

500000 mg per liter dextrose in D50W.

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Since, D50W solution has higher osmolarity than blood, it s not isotonic solution with respect to blood.

( It is hypertonic with respect to blood)

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Note :-

Osmolarity :- It is the concentration of a solution expressed in term of total number of solute particles present per litre of solution.

It is calculate as

Here

Molarity of dextrose (a sugar molar mass 180 g/mol) is

i.e.

since, it does not dissociate in water.

So number of particle = 1

thus,

i.e.

The osmolarity of blood is about 225 - 375

​​​​​​As 225 << 2780

D50W is hypertoinc with respect to blood.