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Chapter 11: Problem 13

What volume of \(0.25 M \mathrm{HCl}\) solution must be diluted to prepare \(1.00 \mathrm{~L}\) of \(0.040 \mathrm{M} \mathrm{HCl} ?\)

Short Answer

Expert verified
To prepare \(1.00 L\) of a \(0.040 M \mathrm{ HCl}\) solution, \(0.16 L\) of the \(0.25 M \mathrm{ HCl}\) solution is needed.

Step by step solution

01

Write down the dilution formula

To find the initial volume of the \(0.25 M \mathrm{ HCl}\) solution needed, we will use the dilution formula: $$C_1 V_1 = C_2 V_2$$
02

Plug in the known values

We'll now substitute the given values into the equation: $$0.25 \mathrm{M} \cdot V_1 = 0.040 \mathrm{M} \cdot 1.00 \mathrm{L}$$
03

Solve for V1

To find the initial volume, \(V_1\), we'll rearrange and simplify the equation: $$V_1 = \frac{0.040 \mathrm{M} \cdot 1.00 \mathrm{L}}{0.25 \mathrm{M}}$$
04

Calculate the volume of the initial solution required

Now, we'll perform the calculation: $$V_1 = \frac{0.040\cancel{\mathrm{M}} \cdot 1.00 \mathrm{L}}{0.25\cancel{\mathrm{M}}} = \frac{0.040 \mathrm{L}}{0.25} = 0.16 \mathrm{L}$$ So, to prepare 1.00 L of a 0.040 M HCl solution, we need 0.16 L of the 0.25 M HCl solution.

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Most popular questions from this chapter

The normal boiling point of methanol is \(64.7^{\circ} \mathrm{C}\). A solution containing a nonvolatile solute dissolved in methanol has a vapor pressure of \(710.0\) torr at \(64.7^{\circ} \mathrm{C}\). What is the mole fraction of methanol in this solution?

When pure methanol is mixed with water, the resulting solution feels warm. Would you expect this solution to be ideal? Explain.

a. Calculate the freezing-point depression and osmotic pressure at \(25^{\circ} \mathrm{C}\) of an aqueous solution containing \(1.0 \mathrm{~g} / \mathrm{L}\) of a protein (molar mass \(=9.0 \times 10^{4} \mathrm{~g} / \mathrm{mol}\) ) if the density of the solution is \(1.0 \mathrm{~g} / \mathrm{cm}^{3}\). b. Considering your answer to part a, which colligative property, freezing- point depression or osmotic pressure, would be better used to determine the molar masses of large molecules? Explain.

You drop an ice cube (made from pure water) into a saltwater solution at \(0^{\circ} \mathrm{C}\). Explain what happens and why.

Consider a beaker of salt water sitting open in a room. Over time, does the vapor pressure increase, decrease, or stay the same? Explain.
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