How many grams of NaOH are needed to make 450mL of a 2.5%(m/v) NaOH solution?
2.5% m/v means 2.5 g NaOH per 100 mL solution.
So you want 2.5 g for 100 mL, how much will you need for 450 mL. That is
2.5 x (450/100) = ?
Or you can plug it into the formula of
%m/v = (g solute/mL solvent)*100 = (g solute/450)*100 = 2.5% and solve for g solute.
To find out how many grams of NaOH are needed to make a 2.5% (m/v) NaOH solution, we need to follow the steps below:
Step 1: Understand the given information
The given information is:
- Volume of the solution: 450 mL
- Concentration of the NaOH solution: 2.5% (m/v)
Step 2: Convert the percentage concentration to grams per milliliter (g/mL)
To convert the percentage concentration to grams per milliliter, we need to understand that 2.5% (m/v) means 2.5 grams of NaOH per 100 milliliters of solution.
So, we can express the concentration as 2.5 grams per 100 milliliters, or 2.5 g/100 mL.
Step 3: Calculate the required amount of NaOH using dimensional analysis
To determine how many grams of NaOH are needed for 450 mL of the solution, we need to set up a proportion using the given concentration.
We know that:
- 2.5 g NaOH is required for 100 mL of the solution
We can set up the proportion as follows:
2.5 g / 100 mL = x g / 450 mL
To find x (the amount of NaOH required for 450 mL), we can cross multiply and solve for x:
2.5 g * 450 mL = 100 mL * x
1125 g * mL = 100 mL * x
x = (1125 g * mL) / 100 mL
x = 11.25 g
Therefore, approximately 11.25 grams of NaOH are needed to make a 450 mL solution with a 2.5% (m/v) concentration of NaOH.