5.7 A quantity of an ideal gas is held in a cylinder with a movable piston. At a temperature of 245°C, the gas has a volume of
0.0158 m^3 and pressure 2.12×10^5 Pa. The piston then moves so the volume of the gas is 0.0287 m^3 and the pressure is
1.67×10^5 Pa. What is the resulting temperature of the gas, in kelvins?
KSection 7 - Interactive problem: pressure of an ideal gas
7.1 Using the simulation in the interactive problem in this section, if there are 20 particles in the chamber, what volume will result
in a pressure of 552 Pa? Calculate your answer first, then check it with the simulation.
m^3Section 9 - Kinetic energy and temperature
9.1 If 8.1 mol of an ideal gas occupy 0.26 m^3 at a pressure of 1.4×10^5 Pa, what is the average translational kinetic energy of a
molecule of the gas?
J
9.2 An ideal monatomic gas has an internal energy of 1.10×10^4 J. If there are 2.91 moles of the gas, what is its temperature?
K
9.3 The average translational kinetic energy of a molecule of a quantity of an ideal gas is 1.10eí20 J. What is the temperature of
the gas?
K
9.4 Helium, the second most abundant element in the universe, can exist as a monatomic gas. At a pressure of 1.1×10^5 Pa, a
quantity of helium gas occupies a volume of 0.16 m^3. What is the internal energy of the gas? Treat helium as an ideal gas.
J(^372) Copyright 2007 Kinetic Books Co. Chapter 19 Problems