A patient receives 100. mL of 20.% (m/v) mannitol solution every hour.
b. How many grams of mannitol does the patient receive in 12 h?

Verified step by step guidance

1. Step 1: Understand the given information. The solution is 20.% (m/v), which means there are 20 grams of mannitol in 100 mL of solution. The patient receives 100 mL of this solution every hour for 12 hours.
2. Step 2: Calculate the amount of mannitol in 100 mL of solution. Use the formula for mass/volume percent: \( \text{(m/v)} = \frac{\text{mass of solute (g)}}{\text{volume of solution (mL)}} \times 100 \). Rearrange to find the mass of solute: \( \text{mass of solute (g)} = \text{(m/v)} \times \frac{\text{volume of solution (mL)}}{100} \).
3. Step 3: Substitute the given values into the formula. Use \( \text{(m/v)} = 20 \% \) and \( \text{volume of solution} = 100 \ \text{mL} \) to calculate the mass of mannitol in 100 mL of solution.
4. Step 4: Determine the total amount of solution the patient receives in 12 hours. Multiply the volume of solution received per hour (100 mL) by the total time (12 hours).
5. Step 5: Calculate the total mass of mannitol received in 12 hours. Multiply the mass of mannitol in 100 mL (calculated in Step 3) by the total number of 100 mL portions received (calculated in Step 4).

Key Concepts

Mannitol Solution Concentration

Mannitol solution concentration is often expressed as mass/volume percentage (m/v), which indicates the number of grams of solute (mannitol) per 100 mL of solution. In this case, a 20% (m/v) solution means there are 20 grams of mannitol in every 100 mL of the solution.

Volume Administration Rate

The volume administration rate refers to the amount of solution given to a patient over a specific time period. In this scenario, the patient receives 100 mL of mannitol solution every hour, which is crucial for calculating the total volume administered over a longer duration, such as 12 hours.

Total Dose Calculation

Total dose calculation involves determining the total amount of a substance administered over a specified time. To find out how many grams of mannitol the patient receives in 12 hours, one must multiply the hourly dose of mannitol by the total number of hours, taking into account the concentration of the solution.