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Density of substances and their mixtures in everyday life: mass and volume

Link to the lesson

Before you start you should know
  • what the substance is;

  • which of the properties of the substance are called physical properties;

  • what the term chemical properties means;

  • how to examine and describe the physical and chemical properties of the substance;

You will learn
  • to explain the terms: mass and volume mean.

  • carry out calculations regarding mass and volume.

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Nagranie dźwiękowe abstraktu

What is mass?

One of the task during the strongman competition is to lift a stone or concrete ball (weighing 110 - 190 kg) from the ground and place it on the platform in the shortest possible time. Do balls of comparable volume made of Styrofoam have a similar mass?

Matter is everything that surrounds us which has a mass and a specific volume.

The formal definition is:

The kilogram, symbol kg, is the SI unit of massmassmass. It is defined by taking the fixed numerical value of the Planck constant h to be 6.62607015 × 10Indeks górny −34 when expressed in the unit J⋅s, which is equal to kg⋅mIndeks górny 2⋅sIndeks górny −1, where the metre and the second are defined in terms of c and ΔνIndeks dolny Cs.

*SI (Système international d'unités) – International System of Units is a system of physical units, such as, for example metre, kilogram, second, and multiples thereof determined using prefixes.

Prefix

Meaning

Symbol

Value

nano-

10Indeks dolny –Indeks dolny 9

n

0.000000001

micro-

10Indeks dolny –Indeks dolny 6

μ

0.000001

milli-

10Indeks dolny –3

m

0.001

centi-

10Indeks dolny –Indeks dolny 2

c

0.01

deci-

10Indeks dolny –Indeks dolny 1

d

0.1

kilo-

10Indeks dolny 3

k

1000

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Kilogram pattern in Sèvres - cylinder with a height and diameter equal to 39 mm. This metal cylinder has been used as a kilogram standard until May 2019. 
Task 1

Consider whether weight and mass are the same thing? Will your weigh be the same on the Earth and on the Moon?

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Ilustracja przedstawia planety układu słonecznego w kolejności od najdalej położonej planety do centrum układu. 1. Neptun, Neptune 1,1x, 2. Uran, Uranus 0,9x, 3. Saturn, Saturn 1,1x, 4. Jowisz, Jupiter 2,5x, 5. pas asteroid, asteroid belt , 6. Mars, Mars 0,4x, 7. Ziemia, Earth 1,0x, 8. Wenus, Venus 0,9x, 9. Merkury, Mercury 0,4x, 10. Słońce, Sun
The celestial bodies differ in mass, which causes them to attract other bodies with different strength. For this reason on different planets the human weight would be different.

The body with the same mass – depending on the force of gravity and the place of measurement – may have different weight. The gravity on the Moon is lower than on Earth, so the astronaut’s weight is lower on the Moon. The unit of weight (force of gravity) is Newton (N).

What volume means?

Volume determines how much of space is occupied by a given body; the unit of volume is a cubic meter (mIndeks dolny 3) in SI

In everyday life, we usually use a smaller unit – litre (1 dmIndeks górny 3 = 1 litre). Liter is not a unit of the SI system. The methods for determining the volume of a substance depend on its state of matter. Volume of liquid is measured using laboratory glassware with graduation scale. In the laboratory, measuring cylinders and pipettes are used for this purpose, and cubic decimetre (dmIndeks dolny 3) is a unit. At home, we can use glasses or spoons. The following are examples of approximate volume conversion rates.

Volume in ml and l

Volume in cmIndeks dolny 3 and dmIndeks dolny 3

Volume in mIndeks dolny 3

4 glasses

1000 ml = 1 l

1000 cmIndeks dolny 3 = 1 dmIndeks dolny 3

0.001 m³

1 glass

250 ml = 0.25 l

250 cmIndeks dolny 3 = 0.25 dmIndeks dolny 3

0.00025 m³

1 table spoon

15 ml = 0.015 l

15 cmIndeks dolny 3 = 0.015 dmIndeks dolny 3

15 · 10Indeks dolny -6

1 tea spoon

5 ml = 0.005 l

5 cmIndeks dolny 3 = 0.005 dmIndeks dolny 3

5 · 10Indeks dolny -6

How is the volume of gases determined?

The volume of gases depends on the size of their „packaging” because the gases fill up all of their available space. For example, when drinking water from a bottle, the air takes up the empty space. The empty 1 litre bottle contains a litre of air.

How is the volume of solids with regular shapes determined?

The volume of solids with regular shapes can be calculated based on their dimensions.
The volume of cube is calculated using the formula:
V=a3, and the volume of cuboid – using the formula: V=a·b·c

How is the volume of solids with irregular shapes determined?

Task 2

Conduct an experiment that will allow you to calculate the volume of a solid with irregular shapes. Immerse such an object in a cylinder with water. Before you do an experiment, formulate a research question and hypothesis. Then save the changes observed during the experiment. Write down the conclusions.

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Wykonaj ćwiczenie zgodnie z poleceniem.

Volume of solids with irregular shape can be determined by immersing an object in a cylinder filled with water. The volume is a difference between the final volume (after immersing the object) and the initial volume of water in the cylinder.

How can you determine the volume of liquid?
Experiment 1
Research problem

Experiment to be conducted individually. How can you determine the volume of liquid?

You will need
  • measuring cylinder,

  • water.

Instruction
  1. Pour 10 cmIndeks dolny 3 of water into measuring cylinder.

  2. Read the volume of liquid.

  3. Consider what might be the cause of this phenomenon.

Consider whether the water evenly fills the space in the cylinder and whether the liquid surface near the walls curves up or down. Do you know what the phenomenon is called? If not, look at the explanations below.

Meniscus
MeniscusmeniscusMeniscus is the curve (place of adhesion) in the upper surface of a liquid close to the surface of the object – measuring cylinder. There is convex (water) and concave (mercury) meniscus – it depends on the value of adhesive forces between liquid molecules and glassware walls as well as on the intermolecular forces between liquid molecules.

Parallax is the phenomenon of erroneous reading of the measuring instrument. The reason is the wrong angle at which the person is looking. The line of sight passing through the indicating element, e.g. the liquid bar in the measuring cylinder, is directed to the wrong point on the reading scale behind this element. The difference between the actual reading and the correct reading value is called the parallax error.

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Exercise 1
A parameter that determines how much space given body occupies is: Możliwe odpowiedzi: 1. volume, 2. mass, 3. density

Summary

  • Mass is a measure of the amount of matter determined by means of a weight.

  • The kilogram pattern is stored at the International Bureau of Weights and Measures in Sѐvres near Paris.

  • The body of the same mass, depending on the strength of gravity and the place of measurement, may have different weights.

  • In the SI system, the unit of volume is cubic meter mIndeks dolny 3.

  • The methods for determining the volume of a substance depend on its physical state.

  • The volume of the irregularly shaped solid can be determined by immersing this object in a cylinder with water.

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Grafika przedstawiająca tablicę szkolną, na której znajdują się zdania do dokończenia. Finish selected sentences. 1 It was easy for me (uzupełnij). 2 It was difficult for me (uzupełnij). 3 Today I learned (uzupełnij). 4 I understood that (uzupełnij). 5 It surprised me (uzupełnij). 6. Today I found out (uzupełnij). 7. I was interested in (uzupełnij). 8. I still have to repeat (uzupełnij).
Source: GroMar Sp. z o.o., licencja: CC BY-SA 3.0.

Key words

volume, weight, mass, meniscus, substance

Glossary

mass
mass
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Nagranie dźwiękowe słówka

quantitative measure of substance, in SI (The International System of Units) it is determined in kilograms

volume
volume
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Nagranie dźwiękowe słówka

determines how much of space is occupied by a given body; the unit of volume is a cubic meter (mIndeks dolny 3) in SI

meniscus
meniscus
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Nagranie dźwiękowe słówka

the curve (place of adhesion) in the upper surface of a liquid close to the surface of the object – measuring cylinder