# 40 g of sugar (molar mass = 342 g/mol) is mixed with enough water to make 200 mL of solution. What is the molarity of the resulting sugar solution?

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 12, Problem 12.4YT
Textbook Problem
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## 40 g of sugar (molar mass = 342 g/mol) is mixed with enough water to make 200 mL of solution. What is the molarity of the resulting sugar solution?

Interpretation Introduction

Interpretation:

The molarity of sugar solution with given mass and volume is to be calculated.

Concept Introduction:

Molarity is defined as the number of moles of solute per liter of solution. Mathematically, molarity (M) is calculated as:

Molarity(M)=Moles soluteLiters solution

The volume of a solution should be in liters and the unit of molarity is M.

The relation between the numbers of moles (n) and molar mass is:

n=mmolar mass

Here, m is mass.

The relationship between liters and milliliters can be expressed as:

1 mL=103 L

To convert milliliters (mL) to liters (L), conversion factor is (103 L1 mL)

### Explanation of Solution

Given information:

Mass of sugar solution is 40 g, molar mass of sugar solution is 342 g/mol and volume of solution is 200 mL.

The number of moles of sugar solution is calculated as

n=mmolar mass

Substitute 40 g for m and 342 gmol for molar mass in the above expression as:

n=40 g342 gmol=0.116 mol

To convert mL to liters (L), first write the correct conversion factor by using the following relationship:

1 mL=103 L

Thus, the conversion factor is (103 L1 mL)

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