High School

How many grams of AgNO₃ are needed to make 250 mL of a solution that is 0.145 M?

A. 6.16 g
B. 0.0985 g
C. 98.5 g
D. 0.162 g

Answer :

Therefore, approximately 6.16 grams of AgNO₃ are needed to make 250 mL of a solution with a concentration of 0.145 M.

To calculate the grams of AgNO₃ needed to make a 250 mL solution with a concentration of 0.145 M, we can use the formula:

Molarity (M) = moles of solute / volume of solution (L)

First, we need to convert the volume of the solution from milliliters to liters:

Volume = 250 mL = 250 mL / 1000 mL/L = 0.250 L

Next, we rearrange the formula to solve for moles of solute:

moles of solute = Molarity × volume of solution

moles of solute = 0.145 M × 0.250 L = 0.03625 mol

Finally, we can calculate the grams of AgNO₃ using its molar mass:

grams of AgNO₃ = moles of solute × molar mass of AgNO₃

grams of AgNO₃ = 0.03625 mol × (107.87 g/mol + 14.01 g/mol + 3(16.00 g/mol))

grams of AgNO₃ ≈ 0.03625 mol × 169.87 g/mol ≈ 6.16 g

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