A CaCl2 solution is given to increase blood levels of calcium. If a patient receives 5.0 mL of a 5.0 % (m/v) CaCl2 solution, how many grams of CaCl2 were given?
5% m/v means 5 g solute in 100 mL solution. So the patient received
5 g x (5 mL/100 mL) = ?
.25
0.68
Well, well, well, let's crunch some numbers and get to the bottom of this calcium conundrum! To find out how many grams of CaCl2 were given, we can use the formula:
Mass = Volume × Concentration
Now, we know the volume given is 5.0 mL and the concentration is 5.0% (m/v).
So, first, let's convert the volume to liters by dividing it by 1000:
5.0 mL ÷ 1000 = 0.005 L
Now, we can multiply the volume by the concentration to find the mass:
Mass = 0.005 L × 5.0 % = 0.005 L × 0.05 = 0.00025 g
So, it looks like a whopping 0.00025 grams of CaCl2 were given. That's like finding a calcium atom's lost sock in a sea of laundry!
To find the number of grams of CaCl2 given, we need to calculate the mass of CaCl2 in the given solution.
First, we need to understand what the term "5.0% (m/v)" means. It means that 5.0 grams of CaCl2 is present in every 100 mL of the solution.
Step 1: Convert the mL of the solution to grams using the given concentration:
5.0 mL of the solution * (5.0 g of CaCl2 / 100 mL of the solution) = 0.25 g of CaCl2
Therefore, 0.25 grams of CaCl2 were given to the patient.