The new dilution value:
We need to apply dilution law, which is based on the mass conservation principle
initial mass = final mass
this apply for moles as weel ( if there is no reaction, which is the case )
mol of A initially = mol of A finally
or, for this case
moles of A in stock = moles of A in diluted solution
Recall that
mol of A = Molarity of A * Volume of A
then
moles of A in stock = moles of A in diluted solution
Molarity of A in stock * Volume of A in stock = Molarity of A in diluted solution* Volume of A in diluted solution
Now, substitute known data
M1*V1 = M2*V2
0.15*1.5 = M2*3.5
M2 = 0.15*1.5 /3.5 M
New molarity = 0.064285M
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