What volume of 12 M NaOH and 2M NaOH should be mixed to get 2 litre of...
Calculating the required amounts of 12 M NaOH and 2 M NaOH
To calculate the required amounts of 12 M NaOH and 2 M NaOH to make 2 L of 9 M NaOH solution, we will use the formula:
C1V1 + C2V2 = C3V3
where C1 and V1 are the concentration and volume of the first solution, C2 and V2 are the concentration and volume of the second solution, and C3 and V3 are the concentration and volume of the final solution.
Step 1: Determine the required amount of NaOH
To make 2 L of 9 M NaOH solution, we need:
9 M x 2 L = 18 moles of NaOH
Step 2: Calculate the amount of 12 M NaOH required
Let's assume that x liters of 12 M NaOH are required. We can use the formula above to solve for x:
12 M x + 2 M (2 L - x) = 9 M x 2 L
Simplifying the equation, we get:
10x = 18
x = 1.8 L
Therefore, we need 1.8 L of 12 M NaOH to make 2 L of 9 M NaOH solution.
Step 3: Calculate the amount of 2 M NaOH required
To calculate the amount of 2 M NaOH required, we can subtract the amount of 12 M NaOH from the total volume of the final solution:
2 L - 1.8 L = 0.2 L
Therefore, we need 0.2 L of 2 M NaOH to make 2 L of 9 M NaOH solution.
Conclusion
To make 2 L of 9 M NaOH solution, we need to mix 1.8 L of 12 M NaOH and 0.2 L of 2 M NaOH.