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Chapter 12: Problem 115

A solution of a particular solid solute in water has a concentration of \(25.0\) mass \(\%\). (a) Given \(100.0 \mathrm{~g}\) of this solution, how many grams of solute do you have? (b) Given \(48.0 \mathrm{~g}\) of this solution, how many grams of solute do you have? (c) How many grams of this solution do you need to obtain \(56.5 \mathrm{~g}\) of solute?

Short Answer

Expert verified
(a) In 100.0 g of the solution, there are 25.0 g of solute. (b) In 48.0 g of the solution, there are 12.0 g of solute. (c) To obtain 56.5 g of the solute, you need 226.0 g of the solution.

Step by step solution

01

Write down the concentration formula for given situation

In this case, we have to find the mass of the solute in 100 g of the solution. To do this, we first write down the concentration formula as follows: Concentration (mass%) = (Mass of solute / Total mass) * 100
02

Substitute the given values and solve for the mass of solute

Now, we have the concentration (25.0 mass%), and the total mass of the solution (100 g). Plugging these values into the formula: 25.0 = (Mass of solute / 100) * 100 To find the mass of solute, multiply both sides by 100: Mass of solute = 25.0 * 100 / 100
03

Calculate the mass of solute

Now, we can calculate the mass of the solute by dividing both sides: Mass of solute = 25.0 g **Part (b)**
04

Write down the concentration formula for given situation

In this case, we have to find the mass of the solute in 48.0 g of the solution. To do this, we first write down the concentration formula as follows: Concentration (mass%) = (Mass of solute / Total mass) * 100
05

Substitute the given values and solve for the mass of solute

Now, we have the concentration (25.0 mass%), and the total mass of the solution (48.0 g). Plugging these values into the formula: 25.0 = (Mass of solute / 48.0) * 100 To find the mass of solute, multiply both sides by 48.0: Mass of solute = 25.0 * 48.0 / 100
06

Calculate the mass of solute

Now, we can calculate the mass of the solute by dividing both sides: Mass of solute = 12.0 g **Part (c)**
07

Write down the concentration formula for given situation

In this case, we have to find the mass of the solution needed to obtain 56.5 g of the solute. To do this, we first write down the concentration formula as follows: Concentration (mass%) = (Mass of solute / Total mass) * 100
08

Substitute the given values and solve for the total mass of solution

Now, we have the concentration (25.0 mass%) and the mass of solute (56.5 g). Plugging these values into the formula: 25.0 = (56.5 / Total mass) * 100 To find the total mass of the solution, multiply both sides by the total mass and divide by 25.0: Total mass = 56.5 * 100 / 25.0
09

Calculate the total mass of the solution

Now, we can calculate the total mass of the solution by dividing both sides: Total mass = 226.0 g So, to obtain 56.5 g of the solute, we need 226.0 g of the solution.

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Most popular questions from this chapter

You have two solutions, one \(0.755 \mathrm{M}\) barium nitrate and the other \(1.250 \mathrm{M}\) calcium hydroxide. (a) Write a net ionic equation for the precipitation reaction that occurs when these solutions are combined. (b) How many milliliters of the two solutions must be combined to prepare \(5.00 \mathrm{~g}\) of precipitate? (c) Suppose you filter off the precipitate and find that your percent yield is \(85.0 \%\). What volumes of the solutions should you have combined to isolate \(5.00 \mathrm{~g}\) of precipitate?

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