(a) Calculate the molarity of a solution made by dissolving 12.5 grams of \(\mathrm{Na}_{2} \mathrm{CrO}_{4}\) in enough water to form exactly $750 \mathrm{~mL}\( of solution. (b) How many moles of KBr are present in \)150 \mathrm{~mL}\( of a \)0.112 \mathrm{M}$ solution? (c) How many milliliters of \(6.1 \mathrm{MHCl}\) colution a

Short Answer

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To summarize: a) The molarity of the Na₂CrO₄ solution is 0.103 M. b) There are 0.0168 moles of KBr in 150 mL of a 0.112 M solution. c) Part (c) of the question is incomplete and we need more information for a proper solution.

Step by step solution

01

Part A: Calculate the molarity of Na2CrO4 solution

1. Calculate the molar mass of Na2CrO4: The molar mass of Na₂CrO₄ can be found by calculating the sum of the molar masses of its individual elements:$$ \mathrm{Na}_{2} \mathrm{CrO}_{4}=2(\mathrm{Na})+\mathrm{Cr}+4(\mathrm{O}) $$Use the atomic masses from the periodic table to find the molar mass of each element:$$ \mathrm{Na} = 22.99\,\mathrm{g/mol} $$ \mathrm{Cr} = 51.996\,\mathrm{g/mol} $$ \mathrm{O} = 16\,\mathrm{g/mol} $$Plug the values into the formula and find the molar mass of Na₂CrO₄:$$ 2(22.99\,\mathrm{g/mol}) + 51.996\,\mathrm{g/mol} + 4(16\,\mathrm{g/mol}) = 161.97\,\mathrm{g/mol} $$2. Convert the mass of Na₂CrO₄ to moles: Now that we have the molar mass, we can convert the given mass (12.5 g) of Na₂CrO₄ to moles:$$ \frac{12.5\,\mathrm{g}}{161.97\,\mathrm{g/mol}}=0.0772\,\mathrm{mol} $$3. Convert volume to liters: Given that the solution has a volume of 750 mL, we need to convert this to liters for the molarity calculation:$$ 750\,\mathrm{mL} \times \frac{1\,\mathrm{L}}{1000\,\mathrm{mL}}=0.750\,\mathrm{L} $$4. Calculate the molarity of the Na₂CrO₄ solution: Plug the values of moles and volume in liters into the molarity formula:$$ M = \frac{n}{V} = \frac{0.0772\,\mathrm{mol}}{0.750\,\mathrm{L}}=0.103\,\mathrm{M} $$Therefore, the molarity of the Na₂CrO₄ solution is 0.103 M.
02

Part B: Determine the number of moles in a 0.112M KBr solution

1. Convert the volume to liters: The given volume of the KBr solution is 150 mL. Convert it to liters:$$ 150\,\mathrm{mL} \times \frac{1\,\mathrm{L}}{1000\,\mathrm{mL}}=0.150\,\mathrm{L} $$2. Calculate the moles of KBr: Given that the molarity of the KBr solution is 0.112 M, use the molarity formula to find the number of moles in the solution:$$ n= M \times V=0.112\,\mathrm{M} \times 0.150\,\mathrm{L} = 0.0168\,\mathrm{mol} $$Therefore, there are 0.0168 moles of KBr in 150 mL of a 0.112 M solution.
03

Part C: Calculate the volume of a 6.1M HCl solution

It appears that the exercise is incomplete after part (c) because the required volume or moles of HCl are not given. Please provide more information about part (c) to receive a complete solution.

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Most popular questions from this chapter

(a) A caesium hydroxide solution is prepared by dissolving \(3.20 \mathrm{~g}\) of \(\mathrm{CsOH}\) in water to make \(25.00 \mathrm{~mL}\) of solution. What is the molarity of this solution? (b) Then, the caesium hydroxide solution prepared in part (a) is used to titrate a hydroiodic acid solution of unknown concentration. Write a balanced chemical equation to represent the reaction between the caesium hydroxide and hydroiodic acid solutions. (c) If \(18.65 \mathrm{~mL}\) of the caesium hydroxide solution was needed to neutralize a $42.3 \mathrm{~mL}$ aliquot of the hydroiodic acid solution, what is the concentration (molarity) of the acid?

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