In order to understand how this equation is derived and why it holds true, the product of each side of the equation should be examined. What value and unit do you get when you multiply a concentration of 0.735 M by a volume of 0.400 L? This question can be expressed as 0.400 L x 1 Express your answer to three significant figures with the appropriate units. View Available Hint(s) 0.735 mol L

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Dilution is a process in which the concentration of a solution is lowered by adding more solvent. Some of the reasons dilutions are performed are to minimize measurement errors when
preparing a series of solutions at different concentrations, to save time and laboratory space, and to make more accurate measurements on an analytical balance when the target
concentration is very low. The new concentration of a diluted solution can be determined from the following equation, sometimes called the dilution equation,
Y
M₁ V₁ = M₂V₂
where M₁ is the concentration of the initial solution, V₁ is the volume of the initial solution, M₂ is the concentration of the final solution, and V₂ is the volume of the final solution. The
terms M₁ and M₂2 are often expressed in molarity, M, which is equal to mol/L. Another way to write the equation is to replace subscripts of 1 and 2 with abbreviated notations
representing concentrated and diluted, as follows:
E
Meone Veone Mail Vail
Based on the inverse nature of this equivalency, small volumes of concentrated solutions can be used to prepare large volumes of diluted solutions with a known concentration, which is
advantageous in areas involving solution chemistry.
Part A
In order to understand how this equation is derived and why it holds true, the product of each side of the equation should be examined. What value and unit do you get when you
multiply a concentration of 0.735 M by a volume of 0.400 L ? This question can be expressed as
Express your answer to three significant figures with the appropriate units.
► View Available Hint(s)
M₁ V₁ = Value
Submit
Part B
80
$
4
R
μA
F4
%
5
openvellum.ecollege.com
→
Units
FS
T
6
?
MacBook Air
F6
Y
0.400 L X 0.735 mol =
1
&
7
P Pearson
F7
U
8
DII
FB
(
9
DD
F9
0
Review I Constants I Periodic Table
)
0
F10
Ⓒ
P
-
C
F11
+
+
=
F12
88
Transcribed Image Text:3 Dilution is a process in which the concentration of a solution is lowered by adding more solvent. Some of the reasons dilutions are performed are to minimize measurement errors when preparing a series of solutions at different concentrations, to save time and laboratory space, and to make more accurate measurements on an analytical balance when the target concentration is very low. The new concentration of a diluted solution can be determined from the following equation, sometimes called the dilution equation, Y M₁ V₁ = M₂V₂ where M₁ is the concentration of the initial solution, V₁ is the volume of the initial solution, M₂ is the concentration of the final solution, and V₂ is the volume of the final solution. The terms M₁ and M₂2 are often expressed in molarity, M, which is equal to mol/L. Another way to write the equation is to replace subscripts of 1 and 2 with abbreviated notations representing concentrated and diluted, as follows: E Meone Veone Mail Vail Based on the inverse nature of this equivalency, small volumes of concentrated solutions can be used to prepare large volumes of diluted solutions with a known concentration, which is advantageous in areas involving solution chemistry. Part A In order to understand how this equation is derived and why it holds true, the product of each side of the equation should be examined. What value and unit do you get when you multiply a concentration of 0.735 M by a volume of 0.400 L ? This question can be expressed as Express your answer to three significant figures with the appropriate units. ► View Available Hint(s) M₁ V₁ = Value Submit Part B 80 $ 4 R μA F4 % 5 openvellum.ecollege.com → Units FS T 6 ? MacBook Air F6 Y 0.400 L X 0.735 mol = 1 & 7 P Pearson F7 U 8 DII FB ( 9 DD F9 0 Review I Constants I Periodic Table ) 0 F10 Ⓒ P - C F11 + + = F12 88
B
M₁V₁= Value
Submit
Part B
When you need to produce a variety of diluted solutions of a solute, you can dilute a series of stock solutions. A stock solution has a significantly higher concentration of the given
solute (typically 10¹ to 10 times higher than those of the diluted solutions). The high concentration allows many diluted solutions to be prepared using minimal amounts of the stock
solution.
What volume of a 6.73 M stock solution do you need to prepare 100. mL of a 0.2100 M solution of KCI?
Express the volume to three significant figures with the appropriate units.
► View Available Hint(s)
V₁ = Value
Submit
80
$
HÅ
4
ER
1
F4
Units
Dilution as a procedure in analysis
We sometimes purposely dilute solutions if the analyte concentrations are too high to permit an accurate measurement. For example, a spectrophotometer can measure the amount of
light that passes through a sample solution for wavelengths in the visible (and sometimes ultraviolet) range. Based on the dissolved solute's properties, we can quantify that solute's
concentration. If the solute's concentration is too high, a relatively small amount of incident light having the wavelength that corresponds to the solute's absorption behavior will reach the
detector, which results in an inaccurate measurement (consider the result if you blocked the light with an opaque disc). If the solution is diluted, less light is absorbed, and the detector in
the spectrophotometer can generate more reliable data.
When talking about small quantities, it is important to understand the relationship between common prefixes. Here are some relationships that may help when working through Part C.
1L 1000 mL
=
= 1,000,000 μL
OR
1 mL =
An
P Pearson
5
Units
FS
openvellum.ecollege.com
DWG
w ?
6
F6
0.001 L
MacBook Air
TY
=
&
7
44
F7
U
8
DII
F8
1000 μL
(
9
F9
0
)
0
A
F10
-
P
Ⓒ +
F11
+
=
F12
8
Transcribed Image Text:B M₁V₁= Value Submit Part B When you need to produce a variety of diluted solutions of a solute, you can dilute a series of stock solutions. A stock solution has a significantly higher concentration of the given solute (typically 10¹ to 10 times higher than those of the diluted solutions). The high concentration allows many diluted solutions to be prepared using minimal amounts of the stock solution. What volume of a 6.73 M stock solution do you need to prepare 100. mL of a 0.2100 M solution of KCI? Express the volume to three significant figures with the appropriate units. ► View Available Hint(s) V₁ = Value Submit 80 $ HÅ 4 ER 1 F4 Units Dilution as a procedure in analysis We sometimes purposely dilute solutions if the analyte concentrations are too high to permit an accurate measurement. For example, a spectrophotometer can measure the amount of light that passes through a sample solution for wavelengths in the visible (and sometimes ultraviolet) range. Based on the dissolved solute's properties, we can quantify that solute's concentration. If the solute's concentration is too high, a relatively small amount of incident light having the wavelength that corresponds to the solute's absorption behavior will reach the detector, which results in an inaccurate measurement (consider the result if you blocked the light with an opaque disc). If the solution is diluted, less light is absorbed, and the detector in the spectrophotometer can generate more reliable data. When talking about small quantities, it is important to understand the relationship between common prefixes. Here are some relationships that may help when working through Part C. 1L 1000 mL = = 1,000,000 μL OR 1 mL = An P Pearson 5 Units FS openvellum.ecollege.com DWG w ? 6 F6 0.001 L MacBook Air TY = & 7 44 F7 U 8 DII F8 1000 μL ( 9 F9 0 ) 0 A F10 - P Ⓒ + F11 + = F12 8
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