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Solved: (a) What is the total random translational kinetic
Chapter 18, Problem 74P(choose chapter or problem)
Problem 74P
(a) What is the total random translational kinetic energy of 5.00 L of hydrogen gas (molar mass 2.016 g/mol) with pressure 1.01 X 105 Pa and temperature 300 K? (Hint: Use the procedure of Problem 18.67 as a guide.) (b) If the tank containing the gas is placed on a swift jet moving at 300.0 m/s, by what percentage is the total kinetic energy of the gas increased? (c) Since the kinetic energy of the gas molecules is greater when it is on the jet, does this mean that its temperature has gone up? Explain
Questions & Answers
QUESTION:
Problem 74P
(a) What is the total random translational kinetic energy of 5.00 L of hydrogen gas (molar mass 2.016 g/mol) with pressure 1.01 X 105 Pa and temperature 300 K? (Hint: Use the procedure of Problem 18.67 as a guide.) (b) If the tank containing the gas is placed on a swift jet moving at 300.0 m/s, by what percentage is the total kinetic energy of the gas increased? (c) Since the kinetic energy of the gas molecules is greater when it is on the jet, does this mean that its temperature has gone up? Explain
ANSWER:
Solution 74P
Introduction
The random translational kinetic energy of the system depends on the temperature, and since we know the thermodynamic state of the gas we can calculate the random kinetic energy of the system.
Then we have to calculate the total kinetic energy of the gas, when the whole system is moving with speed 300.0 m/s.
Finally we have discuss moving whole in the same direction will not increase the temperature of the gas.
Step 1
The translational kinetic energy for a diatomic gas is given by
Now we have
Hence the total random translational kinetic energy is given by