Final answer:
The new molarity of the sulfuric acid solution after dilution is 0.765 M.
Step-by-step explanation:
To find the new molarity of the sulfuric acid solution after dilution, we can use the formula:
M1V1 = M2V2
Where M1 = initial molarity, V1 = initial volume, M2 = final molarity, and V2 = final volume.
Plugging in the values, we have:
(3.00 M)(12.0 mL) = (M2)(47.0 mL)
Solving for M2, we get the new molarity of the solution after dilution as 0.765 M.