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) The most suitable flask to dissolve 10 g of NaOH (Molar mass = 40 g/mol) and obtain a 5.0 M solution will have a volume equal to: A) 10 mL B) 100 mL C) 1 L D) 5 L E) 50 mL

Question

) The most suitable flask to dissolve 10 g of NaOH (Molar mass = 40 g/mol) and obtain a 5.0 M solution will have a volume equal to: A) 10 mL B) 100 mL C) 1 L D) 5 L E) 50 mL

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Solution

First, we need to understand what a 5.0 M solution means. Molarity (M) is a measure of the concentration of a solute in a solution, or of any chemical species, in terms of amount of substance in a given volume. A 5.0 M solution means there are 5 moles of the solute (in this case, NaOH) in 1 liter of the solution.

Next, we need to calculate how many moles are in 10 g of NaOH. The molar mass of NaOH is given as 40 g/mol. So, we divide the mass of the NaOH by its molar mass to find the number of moles:

10 g / 40 g/mol = 0.25 mol

So, we have 0.25 moles of NaOH. We want to know what volume of solution will give us a 5.0 M solution. We can use the formula for molarity to find this:

M = moles of solute / volume of solution in liters

Rearranging the formula to solve for the volume gives:

Volume of solution in liters = moles of solute / M

Substituting the values we have:

Volume of solution in liters = 0.25 mol / 5.0 M = 0.05 L

Converting liters to milliliters (since the options are given in mL and L, and 1 L = 1000 mL) gives:

0.05 L * 1000 = 50 mL

So, the most suitable flask to dissolve 10 g of NaOH and obtain a 5.0 M solution will have a volume of 50 mL. Therefore, the correct answer is E) 50 mL.

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