# Homework sheet for Sept 12 ```11.18. Show how to derive each of the following relations (laws) beginning with the Ideal Gas Law.
a. P1V1
P2V2
b.
P1V1
n1T1
P2V2
n2T2
c.
V1
T1
d.
P1V1
T1
V2
T2
P2V2
T2
11.19. The pressure of a gas inside an expandable container currently at 2.75 L doubles. The gas is
initially 1.50 atm. What is the new volume of the container?
11.20. A soda bottle is filled with air at 756 torr at 17.2 oC. Suppose the bottle cap will pop off when
the pressure inside the bottle reaches 1.42 atm. The bottle of gas is then heated. At what temperature
in oC will the bottle cap pop off?
11.21. At sea level, a balloon is filled to 1.42 L at 0.994 atm and 19.7 oC and brought into a small
plane. When the plane reaches 8500 ft, the temperature is 17.1 oC; and the volume of the balloon is
determined to be 1.91 L. What is the pressure?
11.22. The pressure of N2 in a container is 456 torr while the pressure of the O2 also in the container is
142 torr. What is the total pressure? Also, what are the percent N2 and percent O2?
%N2 =
%O2 =
11.23. A 15.0 L vessel is filled with 0.230 moles of He and 0.155 moles of O2 at 21 oC. In
atmospheres, what are the partial pressures of He and O2 and what is the total pressure?