Gas Laws

The expression P/T k means that the result of pressure divided by
temperature is a constant, k, for any sample of gas. If this is true, then
P/T under one set of conditions is equal to P/T for the same sample of
gas under another set of conditions, as long as the volume remains
constant.
Gay-Lussac’s law can be expressed by the following mathematical
equation.
124 Chapter 11
P1 T1 P 2
T 2
General Plan for Solving Gay-Lussac’s-Law Problems
1
Given three of the following
four quantities:
T 1 , P 1 , T 2 , P 2
Rearrange the equation
P1 T1
algebraically to solve for
the unknown quantity.
2
An equation that can be used to
calculate the unknown quantity
It will be one of the following four:
T2P1 P2 ,
T1 T1P2 T2 ,
P1 T1P2 P1 ,
T2 T2P1 T1
P2 Convert Celsius
temperatures to
Kelvin temperatures
if necessary.
3
Unknown
T or P
P2 T2 Substitute each of the
known quantities,
and compute.
Convert
K to C if
needed.
Unknown
t in C