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GASES

Lorena Fuentes

Química y Bióloga

Universidad Nacional

PREINGENIERIA

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Tabla de contenido

Comenzaremos la unidad con un análisis de las sustancias que existen como gases y sus propiedades, las unidades adecuadas para expresar las variables de los gases y las diferentes leyes.

  1. Sustancias que existen como gases
  2. Variables de los gases
  3. Leyes de los gases
  4. Ecuación gas ideal

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SUSTANCIAS QUE EXISTEN COMO GASES

Atmósfera

Gas

Composición porcentual

N2

78%

O2

21%

Otros

1%

NaCl

P. Fusión

P. Ebullición

801°C

1000°C

¿Porqué no existen compuestos iónicos gaseosos a 25°C y 1 atm?

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PREINGENIERIA

Unidad 1. Gases

¿Es lo mismo “gas” y “vapor”?

Nota

Cuanto más fuertes sean las atracciones intermoleculares, menor es la posibilidad de que un compuesto exista como gas a la temperatura ordinaria.

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Características físicas

  • Adoptan la forma del recipiente que los contiene
  • Son compresibles (volumen variable)
  • Si están confinados en el mismo recipiente se mezclan de forma completa y uniforme
  • Tienen densidades menores a sólidos y líquidos
  • Movimiento libre y al azar

NO2

I2

Cl2

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2. VARIABLES DE LOS GASES

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Un gas queda definido por cuatro variables:

    • Cantidad de sustancia
    • Volumen
    • Presión
    • Temperatura
    • moles
    • L, m3, …
    • atm, mm Hg, torr, Pa, bar
    • ºC, °F, K

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ESCALAS DE TEMPERATURA

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¿Tengo fiebre a 101 °F?

 

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PRESIÓN DE UN GAS

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¿Cómo funciona un pitillo?

Al succionar el aire del pitillo se reduce la presión en su interior, el vacío creado se llena de líquido que es empujado hacia su parte superior debido a la mayor presión atmosférica.

76 cm

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PRESIÓN vs ALTURA

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¿Por qué varia el punto de ebullición con la altura?

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¿Por qué no se puede jugar un mundial en Bolivia?

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VOLUMEN DE UN GAS

  • 1l =
  • 1m3 =
  • 1 cm3 =

1dm3

1x106 cm3

1 ml

Pase 50000 dm3 a Km3

 

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LEYES DE LOS GASES

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Ley de Boyle y Mariotte

 

El volumen de un gas es inversamente proporcional a la presión que soporta (a temperatura y cantidad de materia constantes).

Transformación isotérmica

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Ley de Charles

 

El volumen de un gas es directamente proporcional a la temperatura absoluta (a presión y cantidad de materia constantes).

Transformación isobárica

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Ley Gay-Lussac

P (atm)

T (K)

La presión de un gas es directamente proporcional a la temperatura absoluta (a volumen y cantidad de materia constantes).

Transformación isocórica

 

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Ley de Avogadro

El volumen de un gas es directamente proporcional a la cantidad de materia (número de moles), a presión y temperatura constantes.

V (L)

n

La adición de más partículas provoca un aumento de los choques contra las paredes, lo que conduce a un aumento de presión, que desplaza el émbolo hasta que se iguala con la presión externa

 

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Ley combinada de los gases

Vi.Pi.To= Vo.Po.Ti

i: inicial

o: final

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Ejemplo: A la presión de 3 atm y 20 ºC, una cierta masa gaseosa ocupa un volumen de 30 litros. Calcula el volumen que ocuparía en condiciones normales.

3 atm · 30 L· 273 K �V2 =

1 atm · 293 K

V1=

P1=

T1=

30L

3 atm

20°C +273= 293K

V2=

P2=

T2=

?

1 atm

273K

V1.P1.T2= V2.P2.T1

V1.P1.T2 = V2

P2.T1

= 83,86 L

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Mismo lado de la igualdad:

Inversamente proporcional

Distinto lado de la igualdad:

Directamente proporcional

LEY DE LOS GASES IDEALES

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P.V = n. R. T

R se calcula para:

n = 1 mol

P = 1 atm

V = 22,4 L

T = 273 K

R = 0,082 atm.L/ mol.K

atm

L

moles

K

LEY DE LOS GASES IDEALES

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Masa molar

  •  

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Ejemplo: Calcula la masa molecular de un gas, sabiendo que 32,7 g del mismo ocupan a 50ºC y 3040 mm de Hg de presión un volumen de 6765 ml

Como

m m� n =— ⇒ P.V = R .T .� M M

Despejando M queda:

m.R.T 32,7 g ·0,082 atm ·L ·323 K

M = =� P.V mol ·K· 6,765 L ·4 atm

= 32,0 g/mol

3040/760= 4 atm

50+273= 323K

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EJERCICIO 1: Una botella de aire cerrada herméticamente a 27°C tiene un volumen de 30 cm3 de aire a presión atmosférica 1 atm. Si se calienta la botella a 200°C, ¿Cuál es la presión dentro de la botella?

1 atm. 473 K �P2 = =

300 K

V1.P1.T2= V2.P2.T1

P1.T2 = P2

T1

1,57 atm

V1=

P1=

T1=

30 cm3

1 atm

27°C +273= 300K

V2=

P2=

T2=

30 cm3

?

200°C+273= 473K

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EJERCICIO 2: 5 moles de NH3 ocupan un volumen de 3500 cm3 a una temperatura de 77°C. ¿A qué presión se halla sometido este gas?

n=

V=

T=

P=

5 moles

3500 cm3

77°C +273= 350K

?

P= 5n. 0,082 .350K

3,5L

= 41 atm

P= n.R.T

V

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PV= n.R.T

Mismo lado = Inversa

Distinto lado = Directa

EJERCICIO UNAL: De las siguientes gráficas la que mejor expresa la relación entre el número de moles del gas en función de la temperatura en condiciones P y V constantes es:

n

T

A

n

T

B

n

T

C

n

T

D

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EJERCICIO UNAL: Un gas ideal ocupa un volumen V, a cierta presión P, y temperatura T. El volumen que ocupará al triplicar la presión y reducir la temperatura a la mitad, será:

  1. 6V
  2. 2V/3
  3. 3V/2
  4. V/6

3PV= n R T

2

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EJERCICIO UNAL: La gráfica que representa mejor la densidad d, del aire verus la temperatura, T, es:

d

T

A

d

T

B

d

T

C

d

T

D

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Quotations are commonly printed as a means of inspiration and to invoke philosophical thoughts from the reader.

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VARIABLES

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  • Presión
  • Temperatura
  • Volumen

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This template is for a SlideDoc

A slidedoc is a visual document, developed in presentation software, that is intended to be read and referenced instead of projected.

Slidedocs help you spread your smart thinking by combining visual communications with short chunks of written copy. Their scannable nature makes them great pre-read, reference, and leave-behind materials. Their modularity makes it easy for people to incorporate your ideas into their own communications. And these features together make slidedocs the perfect companion to both written documents and presentations.

Text from duarte.com/slidedocs

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Hello!

Nice to meet you

Use the first slides to present yourself or your company. Remember that you may not be presenting this document directly.

Contact us at:

  • www.ourwebsite.com
  • hello@mail.me
  • @companyname

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1.

TRANSITION HEADLINE

Let’s start with the first set of slides

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This is a slide title

SlideDocs are for distribution; they’re not optimized for presenting. Slides have too much text and font size is too small for an audience to read it projected in a screen.

These documents are useful for:

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Explain

Follow-up

Distribute

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BIG CONCEPT

Bring the attention of your audience over a key concept using icons or illustrations

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You can also split your content

Try to communicate ideas visually using graphs, icons, illustrations, photos… any resource that helps you convey your message at a glance.

White

Is the color of milk and fresh snow, the color produced by the combination of all the colors of the visible spectrum.

Black

Is the color of coal, ebony, and of outer space. It is the darkest color, the result of the absence of or complete absorption of light.

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In two or three columns

Yellow

Is the color of gold, butter and ripe lemons. In the spectrum of visible light, yellow is found between green and orange.

According to surveys in Europe, Canada, and the United States, yellow is the color people most often associate with amusement, gentleness, and spontaneity, but also with duplicity, envy, jealousy, avarice, and, in the U.S., with cowardice.

It plays an important role in Asian culture, particularly in China, where it is seen as the color of happiness, glory, wisdom, harmony, and culture.

Blue

Is the colour of the clear sky and the deep sea. It is located between violet and green on the optical spectrum.

Surveys in the US and Europe show that blue is the colour most commonly associated with harmony, faithfulness, confidence, distance, infinity, the imagination, cold, and sometimes with sadness.

In US and European public opinion polls it is the most popular colour, chosen by almost half of both men and women as their favourite colour.

Red

Is the color of blood, and because of this it has historically been associated with sacrifice, danger and courage.

Modern surveys in the United States and Europe show red is also the color most commonly associated with heat, activity, passion, sexuality, anger, love and joy. Red is also a color widely used for getting attention, such as stop signs or royal dresses.

In China, India and many other Asian countries it is the color of symbolizing happiness and good fortune.

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A picture is worth a thousand words

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Want big impact? Use big image.

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Use charts to explain your ideas

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Item 1

Item 2

Item 3

Item 4

THE

CONCEPT

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And tables to compare data

As a communication tool, a table allows a form of generalization of information from an unlimited number of different social or scientific contexts. It provides a familiar way to convey information that might otherwise not be obvious or readily understood.

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A

B

C

Yellow

10

20

7

Blue

30

15

10

Orange

5

24

16

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Maps

The word "map" comes from the medieval Latin Mappa mundi, wherein mappa meant napkin or cloth and mundi the world.

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our office

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89,526,124

Whoa! That’s a big number, aren’t you proud?

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89,526,124$

That’s a lot of money

185,244 users

And a lot of users

100%

Total success!

And even more numbers

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Our process is easy

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second

last

first

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Let’s review some concepts

Yellow

Is the color of gold, butter and ripe lemons. In the spectrum of visible light, yellow is found between green and orange.

Blue

Is the colour of the clear sky and the deep sea. It is located between violet and green on the optical spectrum.

Red

Is the color of blood, and because of this it has historically been associated with sacrifice, danger and courage.

Yellow

Is the color of gold, butter and ripe lemons. In the spectrum of visible light, yellow is found between green and orange.

Blue

Is the colour of the clear sky and the deep sea. It is located between violet and green on the optical spectrum.

Red

Is the color of blood, and because of this it has historically been associated with sacrifice, danger and courage.

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You can insert graphs from Google Sheets

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Credits

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