Download - Temperature's effect on gas pressure
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)
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