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To calculate how much of the 1 molar solution of Pb(NO3)2 you need to mix with water in order to achieve a 3 mL solution with a concentration of 0.5 M, you can use the formula:
C1V1 = C2V2
Where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.
In this case, C1 is 1 M, V1 is the volume of the 1 M solution (which we want to find), C2 is 0.5 M, and V2 is 3 mL.
Rearranging the formula to solve for V1 gives us:
V1 = (C2 * V2) / C1
V1 = (0.5 M * 3 mL) / 1 M
Simplifying this equation, we have:
V1 = 1.5 mL
So, you would need to mix 1.5 mL of the 1 molar solution of Pb(NO3)2 with water to obtain the desired solution.