The volume of a 2.0 m solution of NaOH needed to prepare 494.4 ml of a 0.15 m solution of NaOH is 37.08 ml.
Dilution is defined as the process in which the concentration of a sample is decreased by adding more solvent. The dilution formula is given below.
C₁V₁ = C₂V₂
where C₁ = initial concentration of sample = 2.0 m
V₁ = initial volume of sample
C₂ = final concentration after dilution = 0.15 m
V₂ = total final volume after dilution = 494.4 ml
Plug in the values to the formula and solve for the volume of the solution needed.
V₁ = C₂V₂/C₁
V₁ = (0.15 m)(494.4 ml)/(2.0 m)
V₁ = 37.08 ml
Learn more about dilution here: brainly.com/question/1615979
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