1. S C I E N C E 1 0 : D
GAY-LUSAAC’S
LAW
L E T ' S L E A R N
2. Joseph Louis Gay-Lussac and Jacques Charles
(1778-1850) studied gases together. Gay-
Lussac continued Charles's work by looking at
how pressure changes with temperature when
volume stays the same. Gay-Lussac found that
when you heat up a gas, its pressure goes up
too, which happens because the gas particles
move faster and hit each other harder. This
discovery helped explain how temperature
affects gas pressure and is an important part
of understanding how gases behave.
INTRODUCTION
3. It is represented by the following formula:
P∝T, PiTf=PfTi
P=kT or
GAY LUSAAC’S LAW
P = k
t
4. GAY LUSAAC’S LAW
Gay-Lussac's Law states that the pressure of a
gas is directly proportional to its temperature
when volume and amount of gas are constant.
Mathematically, it's represented as P∝T, or
P = kT, where P is the pressure, T is the
temperature in Kelvin, and k is a constant.
Rearranging the equation, you get ,
which shows that the ratio of pressure to
temperature remains constant when volume
and amount of gas are held constant.
P = k
t
5. A gas trapped in a glass cylinder
has 5 atm pressure at 29 °C.
Assuming that volume is held
constant, what is the pressure of
the gas at 50 °C?
6. A car tire has a pressure of 2.38
atm at 25°C. If the pressure inside
reaches 4.08 atm, the tire will
explode. How hot would the tire
have to get for this to happen?
7. ACTIVITY
John has a gas inside a sealed
container. Initially, the pressure
is 2 atmospheres, and the
temperature is 300 Kelvin. If
John increases the temperature
to 400 Kelvin while keeping the
volume the same, what will be
the new pressure inside the
container?
A chemist is studying the
behavior of a gas in a sealed
container using Gay-Lussac’s
Law. Initially, the gas has a
pressure of 1.2 atmospheres at a
temperature of 25°C. If the
pressure increases to 1.5
atmospheres when the
temperature is raised, what is the
new temperature of the gas?
