# Calculating Percent Weight/Volume (% w/v)

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Calculating Percent Weight/Volume (% w/v)

A

**percent w/v solution**is calculated with the following formula using the gram as the base measure of weight (w):**% w/v = g of solute/100 mL of solution**

**Example 1:**

Physiologic or isotonic saline is a 0.9% aqueous solution of NaCl.

0.9% saline = 0.9 g of NaCl diluted to 100 mL of deionized water,

where NaCl is the solute and deionized water is the solvent.

**Example 1:**

What is the % w/v of a solution that has 7.5 g of sodium chloride diluted to 100 mL with deionized water?

By definition, a percent w/v solution is the measure of weight per 100 mL.

**7.5 g/100 mL = 7.5%**You can calculate this value as well:

**X**% = 7.5 g NaCl/100 mL of solution

**X**/100 = 7.5/100

Cross multiplying,

100

**X**= 750**X = 7.5% w/v**