Practice Dilution in Chemistry

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

The process of decreasing the concentration of a solution by adding more solvent while keeping the total amount of solute constant.

Watering down a drink—same amount of flavor, more liquid, weaker taste.

Showing a random 20 of 50 problems.

Example 1

medium

How many mL of 16 M HNO

_3

are needed to prepare 2.0 L of 0.50 M HNO

_3

Example 2

easy

You dilute

50\,\text{mL}

4.0\,\text{M NaOH}

to a final volume of

200\,\text{mL}

. What is the new concentration?

Example 3

medium

A 0.25 M solution of 400 mL is diluted to 1000 mL. Find the new concentration.

Example 4

medium

A stock solution of

\text{H}_2\text{SO}_4

12.0\,\text{M}

. What volume is needed to prepare

500\,\text{mL}

0.60\,\text{M}

solution?

Example 5

medium

A solution is diluted from 2 M to 0.25 M. By what factor did the volume increase?

Example 6

easy

M1 = 10 M, V1 = 5 mL, M2 = 1 M. Find V2.

Example 7

easy

M1 = 4 M, V1 = 250 mL, V2 = 1000 mL. Find M2.

Example 8

hard

500 mL of 0.20 M H

_2

_4

is concentrated by evaporating water until the volume is 100 mL. Find the final concentration.

Example 9

hard

A student wants 250 mL of 0.40 M HCl from 12.0 M stock. How many mL of stock and how much water?

Example 10

medium

Convert units: M1 = 5 M, V1 = 0.2 L, V2 = 500 mL. Find M2.

Example 11

hard

How would you prepare 1.00 L of 0.100 M NaCl from solid NaCl (M = 58.5)?

Example 12

easy

Using M1V1 = M2V2 with M1 = 2 M, V1 = 1 L, V2 = 4 L, find M2.

Example 13

medium

_1

= 1.50 M, V

_1

= 100 mL, M

_2

= 0.250 M. Water to add?

Example 14

easy

How much water do you add to dilute 100 mL up to a final 500 mL?

Example 15

challenge

Two dilutions in series: 50 mL of 1.2 M is diluted to 300 mL, then 100 mL of that is diluted to 500 mL. Find the final concentration.

Example 16

challenge

How much pure water must be added to 500 mL of 18.0 M H

_2

_4

to give 3.00 M H

_2

_4

? (Assume volumes simply add.)

Example 17

medium

You have 250 mL of 1.0 M solution. What is the maximum factor you can dilute by if you can only make a 1.0 L final volume?

Example 18

easy

How much water must be added to

100\,\text{mL}

6.0\,\text{M HCl}

to make a

1.0\,\text{M}

solution?

Example 19

hard

Three dilutions in series: 25 mL of 0.80 M → 100 mL → take 50 mL → 250 mL → take 20 mL → 200 mL. Final M?

Example 20

easy

Dilute 200 mL of 2 M solution to 800 mL. Find new concentration.

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Related Concepts

Concentration Titration