Gases

Effect of temperature on pressure

How does the

of a gas affect its

temperature

How does the

of a gas affect its

pressure

?

temperature

have

Temperature

PressureAmount

Gases

Volume

Type

Amount

have

Temperature

PressureAmount

Gases

Volume

Type

Amount

have

Amount

Gases

Volume

Type

Amount

Temperature

Pressure

have

Amount

Gases

Volume

Amount

Temperature

Pressure

have

Amount

Gases

Temperature

Pressure

Volume

Amount

is

𝐹𝑜𝑟𝑐𝑒𝐴𝑟𝑒𝑎

Pressure

(P)

atm

is

𝐹𝑜𝑟𝑐𝑒𝐴𝑟𝑒𝑎𝑁

𝑚2=Pa

measured in

Pressure

(P)

𝑁𝑚2=Pa

atm

is

𝐹𝑜𝑟𝑐𝑒𝐴𝑟𝑒𝑎

k

measured in

Pressure

(P)

𝑁𝑚2=Pa

atm

is

k

measured in

𝐹𝑜𝑟𝑐𝑒𝐴𝑟𝑒𝑎

Pressure

(P)

is

𝐹𝑜𝑟𝑐𝑒𝐴𝑟𝑒𝑎

Pressure

(P)

𝑁𝑚2=Pa

atm

k

measured in

measured in

Kelvin (K)

Temperature

(T)

measured in

Kelvin (K)

Temperature

(T)is a measure of the

Temperature

(T)measured in

Kelvin (K)

is a measure of the

average kinetic energy

Temperature

(T)measured in

Kelvin (K)

is a measure of the

particles

average kinetic energyof

Temperature

(T)measured in

Kelvin (K)

is a measure of the

average kinetic energyof

particles (molecules)

Temperature

(T)is a measure of the

average kinetic energyof

molecules

Temperature

(T)measured in

Kelvin (K)

is a measure of the

average kinetic energyof

particles (molecules)

movie

movie

Temperature(°C)

Pressure(kPa)

1 106,5

15 111

31 116

80 133

T

T

T

T

P

P

P

P

T

T

T

T

by same factor

proportion

Direct

yx

by same factor

proportion

Direct

PT

1

2

3

4

Temperature(°C)

Pressure(kPa)

1 106,5

15 111

31 116

80 133

1

2

3

4

Temperature(°C)

Pressure(kPa)

1 106,5

15 111

31 116

80 133

TemperaturePressure

(kPa) (°C) (K)

1 106,5

15 111

31 116

80 133

1

2

3

4

TemperaturePressure

(kPa) (°C) (K)

1 106,5

15 111

31 116

80 133

1

2

3

4

+273 =

+273 =

+273 =

+273 =

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

+273 =

+273 =

+273 =

+273 =

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

X?

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

X1,05

X1,05

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

X?

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

X1,04X1,05

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

X1,04X1,05

273

m

273

m10

m

273

m10

m 20m

273

m10

m 20m

273

m

273

m28

0m

290m

273

m28

0m

290m

273

m

273

m10

m 20m

10°C 20°C

10°C 20°C

293°C

heatX2

10°C 20°C

293°C

kinetic energyX2

heatX2

10°C 20°C

293°C

kinetic energyX2

heatX2

10 K

20 K

kinetic energyX2

heatX2

Questions

Ideal data

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 ? ?

? 586 ?

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 ? ?

? 586 ?

1

2

3

4

5

6

X1,07

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 ? ?

? 586 ?

1

2

3

4

5

6

X1,07X1,07

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 ? ?

? 586 ?

1

2

3

4

5

6

X1,13X1,13

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 ? ?

? 586 ?

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 ? ?

? 586 ?

1

2

3

4

5

6

+273 =

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 ?

? 586 ?

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 ?

? 586 ?

1

2

3

4

5

6

X1,06

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 ?

? 586 ?

1

2

3

4

5

6

X1,06X1,06

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 ?

1

2

3

4

5

6

X1,06X1,06

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 ?

1

2

3

4

5

6

X1,66X1,66

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 2,01

1

2

3

4

5

6

X1,66X1,66

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 2,01

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 2,01

1

2

3

4

5

6 -273 =

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

313 586 2,01

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 ?

313 586 ?

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

313 586 2,01

1

2

3

4

5

6

TemperaturePressure

(kPa) k =

(°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

313 586 2,01

1

2

3

4

5

6

TemperaturePressure

(kPa) k =

(°C) (K)

20 293 1,00 0,0034

40 313 1,07 0,0034

60 333 1,14 0,0034

80 353 1,21 0,0034

100 373 1,28 0,0034

313 586 2,01 0,0034

1

2

3

4

5

6

TemperaturePressure

(kPa) k =

(°C) (K)

20 T1=293 P1=1,00 0,0034

40 313 1,07 0,0034

60 333 1,14 0,0034

80 353 1,21 0,0034

100 373 1,28 0,0034

313 586 2,01 0,0034

1

2

3

4

5

6

= k

TemperaturePressure

(kPa) k =

(°C) (K)

20 T1=293 P1=1,00 0,0034

40 T2=313 P2=1,07 0,0034

60 333 1,14 0,0034

80 353 1,21 0,0034

100 373 1,28 0,0034

313 586 2,01 0,0034

1

2

3

4

5

6

= k = k

= k = k=

Question

An enclosed mass of gas has a pressure of 1,21kPa when its temperature is 353K. What would its volume be at a temperature of 373 K?

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 ?

313 586 ?

1

2

3

4

5

6

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 T1=353 P1=1,21

100 T2=375 P2=?

313 586 ?

==

==

353•P2 = 1,21•375

==

353•P2 = 1,21•375

P2 =

= 1,28 kPa

==

353•P2 = 1,21•375

P2 =

= 1,28 kPa

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 ?

313 586 ?

1

2

3

4

5

6

X1,06

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

313 586 ?

1

2

3

4

5

6

X1,06X1,06

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 ?

1

2

3

4

5

6

X1,66X1,66

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 2,01

1

2

3

4

5

6

X1,66X1,66

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 2,01

1

2

3

4

5

6

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

? 586 2,01

1

2

3

4

5

6 -273 =

TemperaturePressure

(kPa) (°C) (K)

20 293 1,00

40 313 1,07

60 333 1,14

80 353 1,21

100 373 1,28

313 586 2,01

1

2

3

4

5

6

Real data

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

1

2

3

4

TemperaturePressure

(kPa) (°C) (K)

1 274 106,5

15 288 111

31 304 116

80 353 133

1

2

3

4

TemperaturePressure

(kPa) k =

(°C) (K)

1 274 106,5 0,39

15 288 111 0,39

31 304 116 0,38

80 353 133 0,35

How does the

of a gas affect its

pressure

?

temperature

The

of a gas is directly proportional

temperature

to its in Kelvin.

pressure