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PPT – Gas Laws and Relationships between P, V, and T PowerPoint presentation | free to download - id: 57d325-OTQyN

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Gas Laws and Relationships between P, V, and T

- Boyles Law
- Charless Law
- Gay-Lusaacs Law
- How to use each

Gases and their Variables

- Four Variables when exploring gases P, V,

T, and n - P Pressure in atms
- V Volume in L
- T Temperature in K
- n quantity of matter in moles

How do they relate to one another? Lets put on

our PVT Cards and find out!

Gas Properties can be modeled using MATH! And

again, Scientists have done all of the work for

us!

http//www.youtube.com/watch?v13WUqWd_Yk8feature

related

Boyles Law

States The volume of a sample of gas is

inversely proportional to its pressure, if

temperature remains constant. Translation At

constant temperature and n, 1 a P

V

Robert Boyle

EX. Volume Decreases, Pressure Increases

Volume Increases, Pressure Decreases

In an inverse relationship, the product of the

two quantities is a constant. P1 x V1 P2 x

V2 P1 V1 P2 V2

Boyles Law

Example 1 - A sample of gas collected in a 350

cm3 container exerts a pressure of 103 kPa. What

would be the volume of this gas at 150 kPa of

pressure? (Assume that the temperature remains

constant.) Solving If temperature remains

constant - use Boyles Law. Write the original

formula P1V1 P2V2 Then list what is given and

what is unknown. P1 103 kPa V1 350 cm3

P2 150 kPa V2 ?

Then PLUG AND CHUG! Lets work it together. 103

kPa (350 cm3) 150 kPa V2 150 kPa 150 kPa 240

cm3 V2

Charless Law

States The volume of a sample of gas is directly

proportional to its Kelvin temperature, if

pressure remains constant. Translation At

constant pressure and n, V a T

Temperature ALWAYS in Kelvin

Jacques Charles

EX. Volume Increases, Temperature Increases

Volume Decreases, Temperature Decreases

In an direct relationship, the quotient of the

two quantities is a constant. V1 / T1 V2 / T2

V1 V2 T1 T2

Charless Law

Ex. If a gas occupies 733 cm3 at 10.0 oC, at what

temperature will it occupy 950 cm3? Assume that

pressure remains constant.

Solving If pressure remains constant - use

Charless Law. Write the original formulaV1

V2 T1 T2 Then list what is given

and what is unknown. V1 733 cm3 T1 10.0 oC

V2 950 cm3 T2 ?

Then PLUG AND CHUG! Lets work it together.

First convert oC to Kelvin K 10.0 oC 273

283 K 733 cm3 950 cm3 283 K T2 366.7 or

370 K T2

How does a hot air balloon work?

TIP Think about Charless Law.

Gay-Lussacs Law

States The Kelvin temperature of a sample of gas

is directly proportional to pressure, if volume

remains constant. Translation At constant

volume and n, T a P Temperature

ALWAYS in Kelvin

Joseph Gay-Lussac

EX. Temperature Increases, Pressure Increases

Temperature Decreases, Pressure Decreases

In an direct relationship, the quotient of the

two quantities is a constant. P1 / T1 P2 / T2

P1 P2 T1 T2

Gay-Lussacs Law

EX. If a gas is cooled from 323.0 K to 273.15 K

and the volume is kept constant what final

pressure would result if the original pressure

was 750.0 mm Hg?

Solving If volume remains constant - use

Gay-Lussacs Law. Write the original formulaP1

P2 T1 T2 Then list what is given

and what is unknown. P1 750.0 mm Hg T1 323.0

K P2 ? T2 273.15 K

Then PLUG AND CHUG! Lets work it together.

750.0 mm Hg P2 323.0

K 273.15 K 634.2 mm Hg P2

ONE MORE FUN FACT! Standard Temperature and

Pressure (STP)

- At STP
- Temperature 273 K or 0 oC
- Pressure 1 atm 760 mm Hg
- Gas Laws Song
- http//www.youtube.com/watch?v13WUqWd_Yk8

Lets Practice!

1. A sample of neon has a volume of 239 cm3 at

2.00 atm of pressure. What would the pressure

have to be in order for the gas to have a volume

of 5.00 x 102 cm3? 2. A 30.0 L sample of

nitrogen inside a rigid, metal container at 20.0

C is placed inside an oven whose temperature is

50.0 C. The pressure inside the container at

20.0 C was at 3.00 atm. What is the pressure of

the nitrogen after its temperature is

increased? 3. A sample of gas at 3.00 x 103 mm

Hg inside a steel tank is cooled from 500.0 C to

0.00 C. What is the final pressure of the gas in

the steel tank? HOMEWORK Practice problems

with each law! FINISH LAB TO TURN IN AT END OF

CLASS!