presentatio n on Boyle's law

2. PRAYER
Dear Lord and Father of all, thank you for
today.
Thank you for ways in which you provide for
us all.
For your protection and love we thank you.
Help us to focus our hearts and minds now
on what we are about to learn.
Inspire us by your eternal light as we
discover more about the world around us.
We ask all this in the name of Jesus.
Amen.

3. Mute your phone except when you
have the floor to talk.
Raise your hand virtually for
permission to speak.
Keep your camera on throughout
the discussion
Stay in a study place where there
are no distractions as we go on to
the lesson

5. 01
Our lungs expands and increase the size of our chest.

6. 02
Our lungs contracts and decreases the size of our chest.

7. 03
During inhalation, muscles increase the size of our thoracic (chest) cavity and
expand our lungs. This increases their volume, so pressure inside the lungs
decreases.

8. 03
Our lungs contracts and decreases the size of the chest cavity. This decreases the
volume, so pressure inside the lungs increases during exhalation.

9. 04
Pressure and volume

11. a.) state the relationship between volume and
pressure of a gas at constant temperature;
b.) derive formula for Boyle’s Law;
c.) solve problems involving change in condition of
a gas using the equation for Boyle’s Law and
d.) cite applications of Boyle’s Law in real life
situation

12. videoooooooooo

13. 01
When the plunger is pressed, the air pressure rises, causing
the air in the balloon to contract or shrink in volume.

14. 02
As the air pressure drops, the air inside the balloon expands,
or increases its volume.

15. • The Boyle’s Law was first
stated by Robert Boyle.

16. Pressure and volume
is inversely
proportional
01. How are pressure and
volume related?

17. Pressure increases when
volume decreases and
vice versa.
02. How do you describe the
relationship of pressure and
volume of a gas at constant
temperature?

18. 03. How do we express the
Boyle’s Law mathematically?
V ∝
1
𝑃
at constant temperature (k)

19. V ∝
1
𝑃
at constant temperature (k)
Thus, VP=k
Where: 𝑃1= initial pressure
𝑉1= initial volume
𝑃2= final pressure
𝑉2= final volume
𝑃1𝑉1= 𝑃2𝑉2

20. Unknown: Initial Volume
𝑃1𝑉1= 𝑃2𝑉2
𝑃1 𝑃1

21. Unknown: Final Volume
𝑃1𝑉1= 𝑃2𝑉2

22. Unknown: Initial Pressure
𝑃1𝑉1= 𝑃2𝑉2

23. Unknown: Final Pressure
𝑃1𝑉1= 𝑃2𝑉2

24. SAMPLE PROBLEM #1
The inflated balloon that slipped from
the hand of Kyla has a volume of
0.50 L at sea level (1.0 atm) and it
reached a height of approximately 8
km where the atmospheric pressure
is approximately 0.33 atm. Assuming
that the temperature is constant,
compute for the final volume of the
balloon.
Given:
Solution:

25. SAMPLE PROBLEM #2
The gas in the balloon has
a 4L at 1.44 atm. The
balloon is released into the
atmosphere, and the gas in
it expands to a volume of
8L. What is the pressure (in
torr) on the balloon at the
new volume?
Given:
Solution:

26. 01
A gas occupies 11.2 mL
at 0.860 atm. What is the
pressure if the volume
becomes 15.0 mL?
02
Two hundred milliliter (200
mL) of gas is contained in a
vessel under a pressure of
800 mmHg. What will be the
new volume (in L) of the gas
if the pressure is changed to
1000 mmHg? Assume that
the temperature remains
constant.

27. Given:
𝑽𝟏 = 𝟏𝟏. 𝟐 𝐋 𝑽𝟐 = 𝟏𝟓. 𝟎 𝐋
𝑷𝟏= 𝟎. 𝟖𝟔𝟎 𝐚𝐭𝐦 𝑷𝟐=?
Solution:
𝑃2= 𝑃1𝑉1
𝑉2
𝑃2=(0.860 L) (11.2 atm)
15.0 L
𝑷𝟐= 0.642 atm

28. Given:
𝑽𝟏 = 𝟐𝟎𝟎 𝒎𝐋 𝑽𝟐 =?
𝑷𝟏= 𝟖𝟎𝟎 𝐦𝐦𝐇𝐠 𝑷𝟐=1000 mmHg
Solution:
𝑉2= 𝑃2𝑉2
𝑃1
𝑉2=(200 mL) (800 mm Hg)
1000 mm Hg
𝑽𝟐= 160 mL x
𝟏 𝑳
𝟏𝟎𝟎𝟎 𝒎𝑳
= 0.16 L

29. Boyle’s Law
(1)
formulated by
states that
The pressure (p) of a given
quantity of gas varies
___(2)____ with its volume (v)
at constant temperature.
In other words,
as the pressure ___(3)____, the
volume decreases. Conversely,
as pressure ___(4)____,
volume increases.
Mathematically written as (5)
Hence,
(6)
Where
(6)
𝑷𝟏
𝑽𝟏
(7)
𝑷𝟐
(8)
𝑽𝟐
(9)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

30. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
___(2)____ with its volume (v)
at constant temperature.
In other words,
as the pressure ___(3)____, the
volume decreases. Conversely,
as pressure ___(4)____,
volume increases.
Mathematically written as (5)
Hence,
(6)
Where
(6)
𝑷𝟏
𝑽𝟏
(7)
𝑷𝟐
(8)
𝑽𝟐
(9)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

31. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure ___(3)____, the
volume decreases. Conversely,
as pressure ___(4)____,
volume increases.
Mathematically written as (5)
Hence,
(6)
Where
(6)
𝑷𝟏
𝑽𝟏
(7)
𝑷𝟐
(8)
𝑽𝟐
(9)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

32. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure increases, the
volume decreases. Conversely,
as pressure decreases, volume
increases.
Mathematically written as (5)
Hence,
(6)
Where
(6)
𝑷𝟏
𝑽𝟏
(7)
𝑷𝟐
(8)
𝑽𝟐
(9)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

33. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure increases, the
volume decreases. Conversely,
as pressure decreases, volume
increases.
Mathematically written as
Hence,
(6)
Where
(7)
𝑷𝟏
𝑽𝟏
(8)
𝑷𝟐
(9)
𝑽𝟐
(10)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

34. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure increases, the
volume decreases. Conversely,
as pressure decreases, volume
increases.
Mathematically written as
Hence,
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐
Where
(7)
𝑷𝟏
𝑽𝟏
(8)
𝑷𝟐
(9)
𝑽𝟐
(10)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

35. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure increases, the
volume decreases. Conversely,
as pressure decreases, volume
increases.
Mathematically written as
Hence,
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐
Where
𝑷𝟏
𝑽𝟏
(8)
𝑷𝟐
(9)
𝑽𝟐
(10)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

36. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure increases, the
volume decreases. Conversely,
as pressure decreases, volume
increases.
Mathematically written as
Hence,
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐
Where
𝑷𝟏
𝑽𝟏
𝑷𝟐
(9)
𝑽𝟐
(10)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

37. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure increases, the
volume decreases. Conversely,
as pressure decreases, volume
increases.
Mathematically written as
Hence,
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐
Where
𝑷𝟏
𝑽𝟏
𝑷𝟐
𝑽𝟐
(10)
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

38. Boyle’s Law
ROBERT BOYLE
formulated by
states that
The pressure (p) of a given
quantity of gas varies
inversely with its volume (v)
at constant temperature.
In other words,
as the pressure increases, the
volume decreases. Conversely,
as pressure decreases, volume
increases.
Mathematically written as
Hence,
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐
Where
𝑷𝟏
𝑽𝟏
𝑷𝟐
𝑽𝟐
𝑷𝟏𝑽𝟏= 𝑷𝟐𝑽𝟐

39. Cite some
applications of
Boyle’s Law in
our daily lives.

42. A. Follow-up
1. A quantity of a gas confined has a volume of 30m³ at 800
torr. If the pressure of the gas is raised to 1000 torr, what would
be the new volume of the gas? The temperature remains constant.
2. Thirty cubic meters (30 m³) of gas in a large cylinder exerts
a pressure of 1.75 atm. Find the pressure the same gas
should exert for the volume to become 40 m³. Assume no change in
temperature.
B. Advance:
1. How is temperature and volume related at constant
pressure?
2. Cite some applications of Charle’s Law?
Reference: Science Quarter 4 – Module 1.2: Charles’ Law (Pg 1-16)