How many gm/mL of glucose and water are in 500mL of a 5.3% glucose solution?

Question

This is a measurement lab for cell and molecular biology, however preparing concentrations by using w/v%, v/v, etc.

Answer 1

A 5.3% (w/v) glucose solution is 5.3 g glucose in a total volume of 100 ml solution, by definition.  To prepare 500 ml, you need 5x that amount.  5 x 5.3 g = 26.5 g glucose in a final volume of 500 ml.

 

A 5.3% (v/v) glucose solution is 5.3 ml of glucose in a total volume of 100 ml solution, by definition.  Because glucose is a solid, it is difficult to find 5.3 ml unless you know the density.  Using density of glucose of 1.54 g/ml, you can convert 5.3 g to ml as follows:  5.3 g x 1 ml/1.54 g = 3.44 g.  This is the mass of glucose needed to make 100 ml.  To make 500 ml, you need 5x this amount.  5 x 4.33 g = 17.21 g glucose in a final volume of 500 ml.

Just noticed the question asks for g/ml. So, for w/v it is 26.5g/500ml = 0.053 g/ml. For v/v is is 17.21g/500ml = 0.034 g/ml