Tank of Helium tank used for filling helium balloons has a volume of 0.300 m and contains 2.25 mol of helium gas at 20.4°C. Assume the helium behaves like an ideal gas. a) What is the total translational kinetic energy of the gas molecules? SOLUTION Conceptualize Imagine a microscopic model of a gas in which you can watch the molecules move about the container more internal energy of the gas. vv rapidly as the temperature increases. Because the gas is monatomic, the total translational kinetic energy of the molecules is t Categorize We evaluate parameters with equations developed in the preceding discussion, so this example is a substitution v v problem. Use the following equation with n= 2.25 mol and T- 294 K (Give your answer in J): Eint -nRT - b) What is the average kinetic energy per molecule? SOLUTION Use the following equation (Give your answer in J): KERCISE he internal energy of a monatomic ideal gas is increased by a factor of 4.2. By what factor does the rms speed of the gas particles change? Hint rms, final ms, initial

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.35P
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A Tank of Helium
A tank used for filling helium balloons has a volume of 0.300 m3 and contains 2.25 mol of helium gas at 20.4°C. Assume the helium behaves like an ideal gas.
(a) What is the total translational kinetic energy of the gas molecules?
SOLUTION
Conceptualize Imagine a microscopic model of a gas in which you can watch the molecules move about the container more
rapidly as the temperature increases. Because the gas is monatomic, the total translational kinetic energy of the molecules is th
internal energy of the gas.
Categorize We evaluate parameters with equations developed in the preceding discussion, so this example is a substitution v
problem.
Use the following equation with n = 2.25 mol and T = 294 K (Give your answer in J):
Eint =nRT =
(b) What is the average kinetic energy per molecule?
SOLUTION
Use the following equation (Give your answer in J):
EXERCISE
The internal energy of a monatomic ideal gas is increased by a factor of 4.2. By what factor does the rms speed of the gas particles change?
Hint
Vrms, final
Vrms, initial
Transcribed Image Text:A Tank of Helium A tank used for filling helium balloons has a volume of 0.300 m3 and contains 2.25 mol of helium gas at 20.4°C. Assume the helium behaves like an ideal gas. (a) What is the total translational kinetic energy of the gas molecules? SOLUTION Conceptualize Imagine a microscopic model of a gas in which you can watch the molecules move about the container more rapidly as the temperature increases. Because the gas is monatomic, the total translational kinetic energy of the molecules is th internal energy of the gas. Categorize We evaluate parameters with equations developed in the preceding discussion, so this example is a substitution v problem. Use the following equation with n = 2.25 mol and T = 294 K (Give your answer in J): Eint =nRT = (b) What is the average kinetic energy per molecule? SOLUTION Use the following equation (Give your answer in J): EXERCISE The internal energy of a monatomic ideal gas is increased by a factor of 4.2. By what factor does the rms speed of the gas particles change? Hint Vrms, final Vrms, initial
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