The gas inside of a container exerts #30 Pa# of pressure and is at a temperature of #450 ^o K#. If the pressure in the container changes to #25 Pa# with no change in the container's volume, what is the new temperature of the gas?
1 Answer
Jun 22, 2017
Explanation:
To solve this problem, we can use the pressuretemperature relationship of gases, illustrated by GayLussac's law:
Our known values are

#P_1 = 30# #"Pa"# 
#T_1 = 450# #"K"# 
#P_2 = 25# #"Pa"#
We're asked to solve for the new temperature, so let's rearrange the equation to solve for
Plugging in the known variables, we have
The new temperature is thus