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# Solved: Complete the tableMass SoluteMass SolventMass ISBN: 9780321910295 34

## Solution for problem 46P Chapter 13

Introductory Chemistry | 5th Edition

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Problem 46P

Complete the table

 Mass Solute Mass Solvent Mass Solution Mass Percent 2.55 g 25.0 g _____ _____ _____ 45.8 g _____ 3.8% 1.38 g _____ 27.2 g _____ 23.7 g _____ _____ 5.8%
Step-by-Step Solution:

Solution 46P :

Step 1:

Formula to find mass percent :

Mass percent =  100 %

Mass Solution = Mass solute + Mass solvent

Let’s consider 1st row :

Mass solute = 2.55 g

Mass solvent = 25.0 g

Mass Solution = ?

Mass percent = ?

Mass solution = 2.55 g + 25.0 g

Mass solution = 27.55 g

Mass percent =  100 %

Mass percent = 9.25 %

Step 2:

Mass solvent = 45.8 g

Mass percent = 3.8 %

Mass solute = ?

Mass solution = ?

We know, Mass percent =  100 %

Therefore,  100 % = 3.8 %                [Mass solute is considered as ‘x’ ]

Cross multiplying, we get :

x 100 % = 3.8 % (x+ 45.8)

100 x = 3.8 x + (3.8 45.8)

100 x - 3.8 x = 3.8 45.8

x(100 - 3.8) = 174.04

x = x = 1.809 g

Hence, Mass solute = 1.809 g

Now, let’s calculate mass solvent :

Mass solution = Mass solute + Mass solvent

= 1.809 g + 45.8 g

Mass solution        = 47.60 g

Step 3:

Now, let’s consider 3rd row :

Mass solute = 1.38 g

Mass solution = 27.2 g

Mass solvent = ?

Mass percent = ?

Mass solvent = Mass solution - Mass solute

= 27.2 g - 1.38 g

Mass solvent =  25.82 g

Mass percent =  100 %

Mass percent  = 5.07 %

Step 4 of 5

Step 5 of 5

##### ISBN: 9780321910295

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