1 M, 2.5 litre NaOH solution is mixed with another 0.5 M and 3 litre NaOH solution. The molarity of the resultant solution will be:
A
0.80 M
B
1.0 M
C
0.73 M
D
0.50 M
Step-by-Step Solution
Identify the Principle: Molarity (M) is defined as the number of moles of solute dissolved in one litre of solution . When mixing two solutions of the same solute, the total number of moles is the sum of the moles in each solution, and the total volume is the sum of the individual volumes.
Calculate Moles in Solution 1 (n1):n1=M1×V1=1 M×2.5 L=2.5 mol
Calculate Moles in Solution 2 (n2):n2=M2×V2=0.5 M×3 L=1.5 mol
Calculate Resultant Molarity (Mmix):ntotal=n1+n2=2.5+1.5=4.0 molVtotal=V1+V2=2.5+3.0=5.5 LMmix=Vtotalntotal=5.54.0≈0.727 M
Rounding: The value rounds to approximately 0.73 M.
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