Calculating osmolarities of peripheral infusions to avoid thrombophlebitis: answers

As you will hopefully see from the answers here, we may have to make some careful decisions when balancing energy intake, fluid intake, route of administration and concentrations to be used.

Show that 10% w/v glucose will be unable to provide the target glucose infusion rate with this limited amount of fluid available.

Given that the molecular mass of glucose is 180.18 g/mol, and 1 mole/litre of a non-dissociating solute (such as glucose) will produce a solution with an osmolarity of 1 Osm/L, calculate the osmolarity of 10% glucose.

Since we only have peripheral access for this child, what is the maximum concentration of glucose we could consider running peripherally if we choose a conservative limit of 600 mOsm/L for the osmolarity?

If we were to fit the minimum desirable glucose delivery rate into the maximum available volume, what would be the concentration and osmolarity of the required solution?