What is the molarity of each of the following solutions: (a) \(15.0 \mathrm{~g}\) of \(\mathrm{Al}_{2}\left(\mathrm{SO}_{4}\right)_{3}\) in \(0.250 \mathrm{~mL}\) solution, (b) \(5.25 \mathrm{~g}\) of $\mathrm{Mn}\left(\mathrm{NO}_{3}\right)_{2} \cdot 2 \mathrm{H}_{2} \mathrm{O}\( in \)175 \mathrm{~mL}$ of solution, (c) \(35.0 \mathrm{~mL}\) of \(9.00 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4}\) diluted to $0.500 \mathrm{~L} ?$

Short Answer

Expert verified
\(Molarity\: of \: (a) = 280.92 \mathrm{M}, (b) = 0.12397 \mathrm{M}, (c) = 0.63 \mathrm{M}\)

Step by step solution

01

Find the molar mass of Al2(SO4)3

To find the molar mass of Al2(SO4)3, add up the molar mass of each element present in the compound. The molar masses are: Al = 26.98 g/mol, S = 32.07 g/mol, O = 16.00 g/mol. Molar mass of Al2(SO4)3 = 2(26.98) + 3(4(16.00) + 32.07) = 213.63
02

Convert mass of solute to moles

Divide the mass of the solute by its molar mass to find the number of moles. Moles of Al2(SO4)3 = (15.0 g) / (213.63 g/mol) = 0.07023 moles
03

Convert volume of solution to liters

To convert the volume of the solution from milliliters to liters, divide by 1000. Volume in liters = 0.250 mL / 1000 = 0.00025 L
04

Calculate molarity

Divide the number of moles of solute by the volume of solution in liters to find the molarity. Molarity = (0.07023 moles) / (0.00025 L) = 280.92 M **(b) Calculate the molarity of 5.25 g of Mn(NO3)2·2H2O in 175 mL of solution**
05

Find the molar mass of Mn(NO3)2·2H2O

To find the molar mass of Mn(NO3)2·2H2O, add up the molar mass of each element present in the compound. The molar masses are: Mn = 54.94 g/mol, N = 14.01 g/mol, O = 16.00 g/mol, H = 1.01 g/mol. Molar mass of Mn(NO3)2·2H2O = 54.94 + 2(14.01 + 3(16.00)) + 4(1.01) = 241.92
06

Convert mass of solute to moles

Divide the mass of the solute by its molar mass to find the number of moles. Moles of Mn(NO3)2·2H2O = (5.25 g) / (241.92 g/mol) = 0.02169 moles
07

Convert volume of solution to liters

Convert the volume of the solution from milliliters to liters by dividing by 1000. Volume in liters = 175 mL / 1000 = 0.175 L
08

Calculate molarity

Divide the number of moles of solute by the volume of solution in liters to find the molarity. Molarity = (0.02169 moles) / (0.175 L) = 0.12397 M **(c) Calculate the molarity of 35.0 mL of 9.00 M H2SO4 diluted to 0.500 L**
09

Calculate the moles of H2SO4

Multiply the initial concentration by the initial volume to calculate the moles of H2SO4. Moles of H2SO4 = (9.00 M) * (35.0 mL / 1000) = 0.315 moles
10

Calculate the final molarity

Divide the moles of H2SO4 by the final volume to find the final molarity. Molarity = (0.315 moles) / (0.500 L) = 0.63 M

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Most popular questions from this chapter

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