Solute concentrations are often described with qualitative terms such as dilute (of relatively low concentration) and concentrated (of relatively high concentration). Concentrations may be quantitatively assessed using a wide variety of measurement units, each convenient for particular applications. Molarity (M) is a useful concentration unit for many applications in chemistry. Molarity is defined as the number of moles of solute in exactly 1 liter (1 L) of the solution: mol solute M = L solution EXAMPLE 3.14 Calculating Molar Concentrations A 355-ml soft drink sample contains 0.133 mol of sucrose (table sugar). What is the molar concentration of sucrose in the beverage? Solution Since the molar amount of solute and the volume of solution are both given, the molarity can be calculated using the definition of molarity. Per this definition, the solution volume must be converted from mL to L: M = mol solute L solution 0.133 mol = 0.375 M 355 mL x IL TO00 ml. Check Your Learning A teaspoon of table sugar contains about 0.01 mol sucrose. What is the molarity of sucrose if a teaspoon of sugar has been dissolved in a cup of tea with a volume of 200 mL? ANSWER: 0.05 M EXAMPLE 3.15 Deriving Moles and Volumes from Molar Concentrations How much sugar (mol) is contained in a modest sip (-10 mL) of the soft drink from Example 3.14? Solution In this case, we can rearrange the definition of molarity to isolate the quantity sought, moles of sugar. We then substitute the value for molarity that we derived in Example 3.14, 0.375 M: mol solute L solution M = mol solute = M x L solution mol solute = 0.375 E × (10 mL x T) = 0.004 mol sugar Check Your Learning What volume (mL) of the sweetened tea described in Example 3.14 contains the same amount of sugar (mol) as 10 ml of the soft drink in this example?

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Solute concentrations are often described with qualitative terms such as dilute (of relatively low concentration) and
concentrated (of relatively high concentration).
Concentrations may be quantitatively assessed using a wide variety of measurement units, each convenient for
particular applications. Molarity (M) is a useful concentration unit for many applications in chemistry. Molarity is
defined as the number of moles of solute in exactly 1 liter (1 L) of the solution:
mol solute
M =
L solution
EXAMPLE 3.14
Calculating Molar Concentrations
A 355-mL soft drink sample contains 0.133 mol of sucrose (table sugar). What is the molar concentration
of sucrose in the beverage?
Solution
Since the molar amount of solute and the volume of solution are both given, the molarity can be calculated
using the definition of molarity. Per this definition, the solution volume must be converted from mL to L:
mol solute
0.133 mol
M =
= 0.375 M
L solution
355 mL ×
1L
1000 mL
Check Your Learning
A teaspoon of table sugar contains about 0.01 mol sucrose. What is the molarity of sucrose if a teaspoon
of sugar has been dissolved in a cup of tea with a volume of 200 mL?
ANSWER:
0.05 M
EXAMPLE 3.15
Deriving Moles and Volumes from Molar Concentrations
How much sugar (mol) is contained in a modest sip (~10 mL) of the soft drink from Example 3.14?
Solution
In this case, we can rearrange the definition of molarity to isolate the quantity sought, moles of sugar. We
then substitute the value for molarity that we derived in Example 3.14, 0.375 M:
mol solute
M =
L solution
mol solute = M × L solution
mol sugar
x (10 mL ×
1 L
1000 mL
= 0.004 mol sugar
mol solute = 0.375
L
Check Your Learning
What volume (mL) of the sweetened tea described in Example 3.14 contains the same amount of sugar
(mol) as 10 mL of the soft drink in this example?
Transcribed Image Text:9:24 PM Mon Feb 21 * 65% A openstax.org Solute concentrations are often described with qualitative terms such as dilute (of relatively low concentration) and concentrated (of relatively high concentration). Concentrations may be quantitatively assessed using a wide variety of measurement units, each convenient for particular applications. Molarity (M) is a useful concentration unit for many applications in chemistry. Molarity is defined as the number of moles of solute in exactly 1 liter (1 L) of the solution: mol solute M = L solution EXAMPLE 3.14 Calculating Molar Concentrations A 355-mL soft drink sample contains 0.133 mol of sucrose (table sugar). What is the molar concentration of sucrose in the beverage? Solution Since the molar amount of solute and the volume of solution are both given, the molarity can be calculated using the definition of molarity. Per this definition, the solution volume must be converted from mL to L: mol solute 0.133 mol M = = 0.375 M L solution 355 mL × 1L 1000 mL Check Your Learning A teaspoon of table sugar contains about 0.01 mol sucrose. What is the molarity of sucrose if a teaspoon of sugar has been dissolved in a cup of tea with a volume of 200 mL? ANSWER: 0.05 M EXAMPLE 3.15 Deriving Moles and Volumes from Molar Concentrations How much sugar (mol) is contained in a modest sip (~10 mL) of the soft drink from Example 3.14? Solution In this case, we can rearrange the definition of molarity to isolate the quantity sought, moles of sugar. We then substitute the value for molarity that we derived in Example 3.14, 0.375 M: mol solute M = L solution mol solute = M × L solution mol sugar x (10 mL × 1 L 1000 mL = 0.004 mol sugar mol solute = 0.375 L Check Your Learning What volume (mL) of the sweetened tea described in Example 3.14 contains the same amount of sugar (mol) as 10 mL of the soft drink in this example?
Expert Solution
Step 1

Molarity of a solution is defined as the number of moles of solute present per litre of solution and it is expressed by the following expression

                                                      Molarity=moles of soluteL of solution

Here a teaspoon of a table sugar contains about 0.01 mol of solute in 200 mL of a solution(cup of tea),we have to find molarity of the solution

 

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