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P- PRESSURE
V- VOLUME
T- TEMPERATURE
n- AMOUNT OF GAS
WHAT ARE THE COMMONLY USED UNITS
FOR VOLUME, PRESSURE, AND
TEMPERATURE?
VARIABLE SI UNIT Metric Unit English UNit
Volume Cubic meter (m3)
cubic decimeter (dm3)
Cubic centimeter
(cm3)
Liter (L)
Milliliter (mL)
Quart (qt)
Gallon (gal)
Pressure Pascal (Pa) Atmosphere (atm)
Millimeters of
mercury (mmHg)
Centimeters of
mercury (cmHg)
torr
lb/in2 (psi)
WHAT ARE OTHER EQUIVALENT UNITS FOR
VOLUME, PRESSURE, AND TEMPERATURE?
Volume units and their equivalents:
1mL= 1cm3 1L= 1dm3 1m3=1000L
Pressure units and their equivalents:
1 atm = 760 mmHg =76cmHg =760 torr
=101325 Pa = 14.6965 psi
Temperature units and their equivalents:
0oC= 273.15K 0oC = 32oF
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?
PET BOTTLE AND BALLOON
INOCENCIO’S AQUARIUM STORE
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.
THE RELATIONSHIP BETWEEN THE
VOLUME AND PRESSURE OF GASES AT
CONSTANT TEMPERATURE WAS FIRST
STATED BY ROBERT BOYLE DURING
THE 16TH 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.
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 ,
P1V1=P2V2
This is called the
BOYLE’S LAW.
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
HYPERBOLIC
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
P1= 10.0 atm
P2= 5.0 atm V2= 4.0 atm
V2= 2.0 atm
P1 V1= P2 V2
(10.00atm)(2.0L)= (5.00 atm)(4.0L)
20.00 = 20.00
PROBLEM SOLVING
GIVEN
REQUIRED
FORMULA
DERIVED FORMULA
SOLUTION
ANSWER
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: V1= 0.50L
P1= 1 atm
P2= 0.33 atm
Required: V2
Formula: P1V1=P2V2
Derived Formula: V2=P1V1 / P2
(1.0 atm)(0.50L)
Solution: V2 = --------------------------------
0.33 atm
Answer: V2= 1.52 L
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: V1= 1.5L P1= 0.95atm V2= ½ V1 = 0.75L
REQUIRED: P2
FORMULA: P1 V1= P2 V2
DERIVED FORMULA: P2 = P1 V1/ P2
(0.9 atm)(1.50L)
Solution: P2 = --------------------------------
0.75L
Answer: P2= 1.9 atm
The volume is reduced so the pressure increased
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: V1= 6.0L P1= 1.0atm V2= 3.0L
REQUIRED: P2
FORMULA: P1 V1= P2 V2
DERIVED FORMULA: P2 = P1 V1/ P2
(1.0atm)(6.0L)
Solution: P2 = --------------------------------
3.0L
Answer: P2= 2.02 atm
The volume is reduced so the pressure increased
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.
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.
DELOS REYES MEDICAL
CENTER
SITUATION
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 , P1V1=P2V2
This is called the
BOYLE’S LAW.
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.
HAVE A WONDERFUL DAY
DO NOT JUDGE
THE MOON BY
ITS CRATER

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IPL Online Quiz by Pragya; Question Set.
IPL Online Quiz by Pragya; Question Set.IPL Online Quiz by Pragya; Question Set.
IPL Online Quiz by Pragya; Question Set.
 

My PowerPoint about boyle's lawlatest.pdf

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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 (m3) cubic decimeter (dm3) Cubic centimeter (cm3) Liter (L) Milliliter (mL) Quart (qt) Gallon (gal) Pressure Pascal (Pa) Atmosphere (atm) Millimeters of mercury (mmHg) Centimeters of mercury (cmHg) torr lb/in2 (psi)
  • 7. WHAT ARE OTHER EQUIVALENT UNITS FOR VOLUME, PRESSURE, AND TEMPERATURE? Volume units and their equivalents: 1mL= 1cm3 1L= 1dm3 1m3=1000L Pressure units and their equivalents: 1 atm = 760 mmHg =76cmHg =760 torr =101325 Pa = 14.6965 psi Temperature units and their equivalents: 0oC= 273.15K 0oC = 32oF
  • 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
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  • 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 16TH 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.
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  • 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 , P1V1=P2V2 This is called the BOYLE’S LAW.
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  • 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
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  • 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 P1= 10.0 atm P2= 5.0 atm V2= 4.0 atm V2= 2.0 atm P1 V1= P2 V2 (10.00atm)(2.0L)= (5.00 atm)(4.0L) 20.00 = 20.00
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  • 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: V1= 0.50L P1= 1 atm P2= 0.33 atm
  • 25. Required: V2 Formula: P1V1=P2V2 Derived Formula: V2=P1V1 / P2 (1.0 atm)(0.50L) Solution: V2 = -------------------------------- 0.33 atm Answer: V2= 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: V1= 1.5L P1= 0.95atm V2= ½ V1 = 0.75L REQUIRED: P2 FORMULA: P1 V1= P2 V2 DERIVED FORMULA: P2 = P1 V1/ P2 (0.9 atm)(1.50L) Solution: P2 = -------------------------------- 0.75L Answer: P2= 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: V1= 6.0L P1= 1.0atm V2= 3.0L REQUIRED: P2 FORMULA: P1 V1= P2 V2 DERIVED FORMULA: P2 = P1 V1/ P2 (1.0atm)(6.0L) Solution: P2 = -------------------------------- 3.0L Answer: P2= 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.
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  • 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 , P1V1=P2V2 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