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5. P- PRESSURE
V- VOLUME
T- TEMPERATURE
n- AMOUNT OF GAS

6. WHAT ARE THE COMMONLY USED UNITS
FOR VOLUME, PRESSURE, AND
TEMPERATURE?
VARIABLE SI UNIT Metric Unit English UNit
Volume Cubic meter (m
3
)
cubic decimeter (dm
3
)
Cubic centimeter
(cm
3
)
Liter (L)
Milliliter (mL)
Quart (qt)
Gallon (gal)
Pressure Pascal (Pa) Atmosphere (atm)
Millimeters of
mercury (mmHg)
Centimeters of
mercury (cmHg)
torr
lb/in
2
(psi)

7. WHAT ARE OTHER EQUIVALENT UNITS FOR
VOLUME, PRESSURE, AND TEMPERATURE?
Volume units and their equivalents:
1mL= 1cm
3
1L= 1dm
3
1m
3
=1000L

Pressure units and their equivalents:
1 atm = 760 mmHg =76cmHg =760 torr
=101325 Pa = 14.6965 psi
Temperature units and their equivalents:
0
o
C= 273.15K 0
o
C = 32
o
F

8. INVESTIGATE THE
RELATIONSHIP BETWEEN
VOLUME AND PRESSURE AT
CONSTANT TEMPERATURE
OF A GAS
What will be the effect of
pressure to the volume of gases
at constant temperature?

9. PET BOTTLE AND BALLOON

12. INOCENCIO’S AQUARIUM STORE

13. HAVE YOU OBSERVED THE AIR EXHALED BY THE
FISHES IN THE AQUARIUM?
It gets bigger and bigger as it rises because the
pressure at the bottom of the aquarium is higher
than the pressure near the surface.

14. THE RELATIONSHIP BETWEEN THE
VOLUME AND PRESSURE OF GASES AT
CONSTANT TEMPERATURE WAS FIRST
STATED BY ROBERT BOYLE DURING
THE 16
TH
CENTURY. HE PERFORMED
AN EXPERIMENT WHEREIN HE
TRAPPED A FIXED AMOUNT OF AIR IN
THE J-TUBE, HE CHANGED THE
PRESSURE AND CONTROLLED THE
TEMPERATURE AND THEN, HE
OBSERVED ITS EFFECT TO THE VOLUME
OF THE AIR INSIDE THE J-TUBE.

16. at constant temperature, the volume
occupied by a fixed amount of gas is
directly proportional to the reciprocal of
pressure (1/P). in mathematical symbol,
V ᾳ 1/P at constant (k) T,
V= k/P, PV=k and at two conditions ,
P
1V
1=P
2V
2
This is called the
BOYLE’S LAW.

18. DATA ON VOLUME-PRESSURE RELATIONSHIP
TRIAL Volume (L) Pressure VxP
1 2.0 10.00
2 4.0 5.00
3 8.0 2.50
4 16.0 1.25
TRIAL Volume (L) Pressure VxP
1 2.0 10.00 20.00
2 4.0 5.00 20.00
3 8.0 2.50 20.00
4 16.0 1.25 20.00

19. HYPERBOLIC

21. TRIAL Volume (L) Pressure VxP
1 2.0 10.00 20.00
2 4.0 5.00 20.00
3 8.0 2.50 20.00
4 16.0 1.25 20.00
P
1= 10.0 atm
P
2= 5.0 atm V
2= 4.0 atm
V
2= 2.0 atm
P
1 V
1= P
2 V
2
(10.00atm)(2.0L)= (5.00 atm)(4.0L)
20.00 = 20.00

23. PROBLEM SOLVING
GIVEN
REQUIRED
FORMULA
DERIVED FORMULA
SOLUTION
ANSWER

24. The inflated balloon that slipped from the
hand of Angel has a volume of 0.50 L at sea
level (1.0 atm) and it reached a height of
approximately 8km where the atmosphetic
pressure is approximately 0.33. Assuming that
the temperature is constant, compute for the
final volume of the balloon.
Given: V
1= 0.50L
P
1= 1 atm
P
2= 0.33 atm

25. Required: V
2
Formula: P
1V
1=P
2V
2
Derived Formula: V
2=P
1V
1 / P
2
(1.0 atm)(0.50L)
Solution: V
2 = --------------------------------
0.33 atm

Answer: V
2= 1.52 L

26. Oxygen gas inside a 1.5 L gas tank has a
pressure of 0.95 atm. Provided that the
temperature remains constant, how much
pressure is needed to reduce its volume by ½?
GIVEN: V
1= 1.5L P
1= 0.95atm V
2= ½ V
1 = 0.75L
REQUIRED: P
2
FORMULA: P
1 V
1= P
2 V
2
DERIVED FORMULA: P
2 = P
1 V
1/ P
2
(0.9 atm)(1.50L)
Solution: P
2 = --------------------------------
0.75L

Answer: P
2= 1.9 atm

The volume is reduced so the pressure increased

27. Jessie needs a diving tank in order to
provide breathing gas while he is
underwater. How much pressure is needed
for 6.0 L of gas at 1.0 atmospheric pressure
to be compressed in a 3.0 L cylinder?
GIVEN: V
1= 6.0L P
1= 1.0atm V
2= 3.0L
REQUIRED: P
2
FORMULA: P
1 V
1= P
2 V
2
DERIVED FORMULA: P
2 = P
1 V
1/ P
2
(1.0atm)(6.0L)
Solution: P
2 = --------------------------------
3.0L

Answer: P
2= 2.02 atm

The volume is reduced so the pressure increased

28. Ventilation is an active example of
Boyle's Law, which states that the
pressure of a container of gas
decreases as the volume of that
container increases. Inspiration
occurs when intrapulmonary
pressure falls below atmospheric
pressure, and air moves into the
lungs.

29. IN HOSPITALS, COVID PATIENTS HAVE
THE DIFFICULTY OF BREATHING
BECAUSE OF THE SEVERE CONDITION
ESPECIALLY SENIOR CITIZENS. THEY
ARE PROVIDED WITH VENTILATOR
THAT SUPPLY OXYGEN VIA
INTUBATION. PRESSURE AND VOLUME
ARE MONITORED REGULARLY DURING
THE INTUBATION.

30. DELOS REYES MEDICAL
CENTER

31. SITUATION

41. As the pressure increases, the volume decreases
at constant volume or, at constant
temperature, the volume occupied by a fixed
amount of gas is directly proportional to the
reciprocal of pressure (1/P). in mathematical
symbol,
V ᾳ 1/P at constant (k) T,n
V= k/P, PV=k and at two conditions , P
1V
1=P
2V
2
This is called the
BOYLE’S LAW.

42. Assignment

1. Problem Solving: A sample of fluorine
gas occupies a volume of 500 mL at 760
torr. Given that the temperature remains
the same . Calculate the pressure
required to reduce its volume by 1/3.
2. Find out what other gas laws involved in
PVT relationship.

43. HAVE A WONDERFUL DAY
DO NOT JUDGE
THE MOON BY
ITS CRATER