A patient received 2.0 g of NaCl in 8 hours. How many milliliters of a 0.40% (m/v) NaCl (saline) solution were delivered?
Well, let's dive into this salty situation, shall we? To find out how many milliliters of the 0.40% NaCl solution were delivered, we'll need to do a little math and sprinkle in some humor!
First things first, we have 2.0 grams of NaCl. Now, since the 0.40% NaCl solution is described as a 0.40% (m/v) solution, it means that 0.40 grams of NaCl are dissolved in every 100 milliliters of the solution.
So, to find out how many milliliters of the 0.40% NaCl solution were delivered, we can set up a proportion using the given information:
0.40 grams of NaCl x milliliters
----------------- = ---------------
100 milliliters 2.0 grams
Cross multiply and solve for x, and you'll find out how many milliliters of the solution were delivered. Just be careful not to spill any solution while doing the math - we don't want you to be all wet!
Remember, laughter is the best medicine, even when it comes to solving mathematical questions. Keep smiling, and happy calculating!
To find the volume of the 0.40% NaCl solution delivered, we can use the equation:
Mass of solute (g) = Volume of solution (mL) × Concentration of solute (%)
Given:
Mass of NaCl = 2.0 g
Concentration of NaCl = 0.40% (m/v)
Let's calculate the volume of the solution:
2.0 g = Volume of solution (mL) × 0.40%
Rearranging the equation to solve for the volume:
Volume of solution (mL) = 2.0 g / 0.40%
Converting the percentage to a decimal:
Volume of solution (mL) = 2.0 g / 0.004
Calculating the result:
Volume of solution (mL) = 500 mL
Therefore, 500 milliliters of the 0.40% NaCl solution were delivered.
To solve this problem, we need to use the equation:
Amount (g) = Volume (mL) × Concentration (% m/v)
First, let's identify the given information:
- Amount of NaCl received: 2.0 g
- Time: 8 hours
- Concentration of the saline solution: 0.40% (m/v)
Next, we need to calculate the volume of the saline solution delivered. We can rearrange the above equation to solve for Volume:
Volume (mL) = Amount (g) / Concentration (% m/v)
Plugging in the values we know:
Volume (mL) = 2.0 g / 0.40%
Now, let's convert the concentration from percentage to decimal form. Remember that 0.40% is equivalent to 0.004.
Volume (mL) = 2.0 g / 0.004
Simplifying further:
Volume (mL) = 500 mL
Therefore, 500 mL of the 0.40% NaCl solution were delivered to the patient.
0.40% m/v means 0.4 g NaCl/100 mL. So
(0.40 g/100 mL) x ?mL = 2 g. Solve for ?mL.