A collection of nitrogen gas molecules is at P - 100,000 Pa, T = 25° C, and is held in a box of Volume V = 2 m³. Answer all the following: (a) How many molecules are in the box? (b) What is the average Translational Kinetic Energy of one of these molecules? (c) What is the (d) What is the internal energy of the system? RMS velocity of one of these molecules? (e) How much heat is required to raise the temperature of the gas to 35⁰ C if the volume is not changed as the heat is added? (f) How much heat is required to raise the temperature of the gas to 35º C if the volume is allowed to change in such a way that the pressure is not changed? (g) What is the change in internal energy of the gas during each of the two previous processes?

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A collection of nitrogen gas molecules is at P 100, 000 Pa, T = 25° C,
and is held in a box of Volume V 2 m³. Answer all the following:
-
(a) How many molecules are in the box?
(b) What is the average Translational Kinetic Energy of one of these
molecules?
(c) What is the RMS velocity of one of these molecules?
(d) What is the internal energy of the system?
(e) How much heat is required to raise the temperature of the gas to 35°
C if the volume is not changed as the heat is added?
(f) How much heat is required to raise the temperature of the gas to 35⁰
C if the volume is allowed to change in such a way that the pressure
is not changed?
(g) What is the change in internal energy of the gas during each of the
two previous processes?
Transcribed Image Text:A collection of nitrogen gas molecules is at P 100, 000 Pa, T = 25° C, and is held in a box of Volume V 2 m³. Answer all the following: - (a) How many molecules are in the box? (b) What is the average Translational Kinetic Energy of one of these molecules? (c) What is the RMS velocity of one of these molecules? (d) What is the internal energy of the system? (e) How much heat is required to raise the temperature of the gas to 35° C if the volume is not changed as the heat is added? (f) How much heat is required to raise the temperature of the gas to 35⁰ C if the volume is allowed to change in such a way that the pressure is not changed? (g) What is the change in internal energy of the gas during each of the two previous processes?
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