The formula to calculate the Osmolal Gap (OG) is:
\[ OG = \text{Measured Osmolality} - \text{Calculated Osmolality} \]
Where:
The Osmolal Gap is a diagnostic tool used in medicine to identify the presence of certain toxins in the body. It is the difference between the measured osmolality (the concentration of solutes in the blood) and the calculated osmolality. A higher than normal Osmolal Gap can indicate the presence of toxins such as methanol, ethylene glycol, or isopropyl alcohol in the blood.
Let's assume the following values:
Step 1: Calculate the Calculated Osmolality:
\[ \text{Calculated Osmolality} = 2 \times 140 + \left(\frac{90}{18}\right) + \left(\frac{15}{2.8}\right) = 280 + 5 + 5.36 = 290.36 \]
Step 2: Subtract the Calculated Osmolality from the Measured Osmolality:
\[ 300 - 290.36 = 9.64 \]
The Osmolal Gap (OG) is 9.64.