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Gases
Boyle’s Law
have

Temperature
Volume
Pressure
Amount
Type
have

Temperature
Volume
Pressure
Amount
Type
Pressure
(P)
is
Pressure
(P)
measured in

atm

is
Pressure
(P)
measured in

atm

is
Pressure
(P)
measured in

atm

is
Pressure
(P)
measured in

atm

is
Volume
(V)
is amount of

space
Volume
(V)
measured in

is amount of

space
Volume
(V)
measured in

3
cm

is amount of

space
Volume
(V)
measured in

3
cm

dm3

is amount of

space
Volume
(V)
measured in

3
cm

dm3

is amount of

space
video
V
V
V
V
V

P

V

P

V

P

V

P
V

P

V

P

V

P

V

P
Inverse

relationship
x

y
Inverse

relationship
x

y

may be

proportion
Inverse

relationship
x

y

may be

proportion
x

y

by same factor
Inverse

relationship
x

y

may be

proportion
x

y

by same factor
Inverse
proportion
V

P

by same factor
Inverse
proportion
V

P

by same factor
have

Temperature
Volume
Pressure
Amount
Type
have

Temperature
Volume
Pressure
Amount
Type
have

Temperature
Volume
Pressure
Amount
Type
have

Temperature
Volume
Pressure
Amount
Type
How does the volume
of a trapped gas affect the gas’s
How does the volume
of a trapped gas affect the gas’s
the gas’s pressure ?
volume
change
volume
change

causes
volume
change

causes

pressure
change
volume
change
volume
change

causes

causes

pressure
change
pressure
change
How does the pressure
exerted on a trapped gas affect
the gas’s volume ?
How does the pressure
exerted by a trapped gas affect
the gas’s volume ?
Volume

Pressure

(dm3)

(units)
Volume
(dm3)
5

Pressure
(units)
1
Volume

Pressure

(dm3)

(units)

5

1

2,5
Volume

Pressure

(dm3)

(units)

5

1

2,5

2
Volume

Pressure

(dm3)

(units)

5

1

2,5

2

1,67

3

1,25

4

1

5
Volume

Pressure

(dm3)

(units)

5

1

2,5

2

1,67

3

1,25

4

1

5

?

6
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

x2
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

x3
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

x4
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

x5
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

x2
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

x2
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

X1,33
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?

X1,33
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6

6

?
Volume

Pressure

(dm3)

(units)

1 5

1

2 2,5

2

3 1,67

3

4 1,25

4

5 1

5

6 0,833

6
Volume

Pressure

(dm3)
1

5

2

2,5

3

1,67

4

1,25

5

1

6

?

k

(units)

x
x
x
x
x
x

1
2
3
4
5

6

(proportionality
constant: PV)
5
=

=
=
=
=
=

5
5
5
5

5
Volume

Pressure

(dm3)
1

5

2

2,5

3

1,67

4

1,25

5

1

6

?

k

(units)

x
x
x
x
x
x

1
2
3
4
5

6

(proportionality
constant: PV)
5
=

=
=
=
=
=

5
5
5
5

5
Volume

Pressure

(dm3)
1

5

2

2,5

3

1,67

4

1,25

5

1

6

?

k

(units)

x
x
x
x
x
x

1
2
3
4
5

6

(proportionality
constant: PV)
5
=

=
=
=
=
=

5
5
5
5

5
Volume

Pressure

(dm3)
1

5

2

2,5

3

1,67

4

1,25

5

1

6

?

k

(units)

x
x
x
x
x
x

1
2
3
4
5

6

(proportionality
constant: PV)
5
=

=
=
=
=
=

5
5
5
5

5
Volume

Pressure

(dm3)
1

5

2

2,5

3

1,67

4

1,25

5

1

6

V

k

(units)

x
x
x
x
x
x

1
2
3
4
5

6

(proportionality
constant: PV)
5
=

=
=
=
=
=

5
5
5
5

5
Volume

Pressure

(dm3)
1

5

2

2,5

3

1,67

4

1,25

5

1

6

0,833

k

(units)

x
x
x
x
x
x

1
2
3
4
5

6

(proportionality
constant: PV)
5
=

=
=
=
=
=

5
5
5
5

5
Volume

k

Pressure

1 V1 = 5

P1 = 1

(proportionality
constant: PV)
5

2 2,5

2

5

3 1,67

3

5

4 1,25

4

5

5 1

5

5

6 ?

6

5

(dm3)

(units)
V1 x P 1 = 5
Volume

k

Pressure

1 V1 = 5

P1 = 1

(proportionality
constant: PV)
5

2 V2 = 2,5

P2 = 2

5

3 1,67

3

5

4 1,25

4

5

5 1

5

5

6 ?

6

5

(dm3)

(units)
V1 x P 1 = 5
V2 x P2 = 5
V1 x P 1 = 5
V2 x P2 = 5
V1 x P1 = V2 x P2
V1 x P 1 = 5
V2 x P2 = 5
V1 x P1 = V2 x P2
P1V1 = P2V2
V1 x P 1 = 5
V2 x P2 = 5
V1 x P1 = V2 x P2
P1V1 = P2V2
Volume

k

Pressure

1 V1 = 5

P1 = 1

(proportionality
constant: PV)
5

2 V2 = 2,5

P2 = 2

5

3 1,67

3

5

4 1,25

4

5

5 V5 = 1

P5 = 5

5

6 ?

6

5

(dm3)

(units)
Volume

k

Pressure

1 V1 = 5

P1 = 1

(proportionality
constant: PV)
5

2 V2 = 2,5

P2 = 2

5

3 V3 = 1,67

P3 = 3

5

4 V4 = 1,25

P4 = 4

5

5 V5 = 1

P5 = 5

5

6 ?

6

5

(dm3)

(units)
Pressure
(units)

Volume
(dm3)

k
(proportionality
constant: PV)

1
2

3
4 1,25

4

5

6

5

5
6 ?
Volume
(dm3)

Pressure

k

(units)

(proportionality
constant: PV)

1
2

3
4 V1 = 1,25

P1 = 4

5

P2 = 6

5

5
6 V2 = ?
P1V1 = P2V2
Question 1
P1V1 = P2V2
DOES apply
Question 1
10 dm3 of a fixed mass of hydrogen
gas at 273 K and at a pressure of
100 kPa is subjected to a pressure
of 200 kPa at the same
temperature. What is the new
volume of the gas, in dm3?
P1V1 = P2V2
Question 2
P1V1 = P2V2
DOES NOT apply
Question 2
Calculate the volume of 132g of
CO2 at a pressure of 9 x 105 Pa and
at a temperature of 300K.
Inverse
proportion
V

P

by same factor
P

is inversely
proportional
to

V
P

is inversely
proportional
to

V

V

is inversely
proportional
to

P
P

1

V
V

1

P
P xV

1 xV

V
P xV

1 xV

V
P V

1
1 xV

P xV

V
P V
P V

1
=

k
Volume

Pressure

(dm3)
1

5

2

2,5

3

1,67

4

1,25

5

1

6

0,833

k

(units)

x
x
x
x
x
x

1
2
3
4
5

6

(proportionality
constant: PV)
5
=

=
=
=
=
=

5
5
5
5

5
Volume

Pressure

(dm3)

(units)

5

1

2,5

2

1,67

3

1,25

4

1

5

0,833

6
Volume (dm³)

The effect of the pressure of a
trapped gas on its volume
6
4
2
0
0

2

4
6
Pressure (units)

8

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