Al pharmacist adds 2.00 mL of distilled water to 4.00 gram of powder drug. The final volume of the solution is 3.00. Ml .What is the percent ( m/v) of the solution?
To find the percent (m/v) of the solution, we need to first find the mass of the drug in grams that is dissolved in the final volume of the solution.
We can start by using the information given to find the concentration of the drug in the solution:
Concentration = amount of drug / volume of solution
3.00 mL = 2.00 mL + volume of powder drug
Volume of powder drug = 3.00 mL - 2.00 mL = 1.00 mL
Concentration = 4.00 g / 1.00 mL = 4.00 g/mL
Now we can use the concentration and the final volume of the solution to find the mass of the drug in grams that is dissolved in the final volume:
Mass of drug = concentration x volume of solution
Mass of drug = 4.00 g/mL x 3.00 mL
Mass of drug = 12.00 g
Finally, we can calculate the percent (m/v) of the solution:
Percent (m/v) = mass of drug / volume of solution x 100%
Percent (m/v) = 12.00 g / 3.00 mL x 100%
Percent (m/v) = 400%
Therefore, the percent (m/v) of the solution is 400%. This is a higher than usual value and may be due to an error in the measurements or calculations.
To determine the percent (m/v) of the solution, you need to calculate the mass of the drug in the solution and divide it by the volume of the solution. Here are the step-by-step calculations:
Step 1: Calculate the mass of the drug in the solution.
Mass of drug = 4.00 grams
Step 2: Calculate the mass of the water added.
Mass of water = 2.00 mL
Since the density of distilled water is approximately 1 g/mL, the mass of water added is also 2.00 grams.
Step 3: Calculate the total mass of the solution.
Total mass of solution = Mass of drug + Mass of water
Total mass of solution = 4.00 grams + 2.00 grams
Total mass of solution = 6.00 grams
Step 4: Calculate the percent (m/v) of the solution.
% (m/v) = (Mass of drug / Total mass of solution) x 100
% (m/v) = (4.00 grams / 6.00 grams) x 100
% (m/v) = 0.6667 x 100
% (m/v) = 66.67%
Therefore, the percent (m/v) of the solution is 66.67%.