Let us consider initial concentration (M1= 3M), initial volume (to be determined), final concentration (M2 = 0.257M) and final volume (V2 = 50 mL).
We can use following equation for calculating initial volume
M1 x V1 = M2 x V2
Rearranging above equation for V1 we get,
V1 = (M2 x V2) / M1
= (0.257 M x 50 mL) / 3 M
= 4.28 mL
Therefore volume required will be 4.28 mL
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