3) P-V diagram for a monatomic ideal gas A monatomic ideal gas in a cylinder undergoes a cycle consisting of three processes, as shown in the P-V (pressure vs. volume) diagram. The gas expands at constant pressure from point A to B, it follows a straight path from point B to C, and finally undergoes a constant temperature compression from point C to A. The gas consists of a fixed number of =1000×NA= 6x1026 particles. You may approximate Boltzmann's constant as kg = 10-23 J/K, and 1atm 105 N/m?. a) What is the internal energy of the gas at point A? b) What is the temperature of the batm gas at point B? 'B c) How much work is done by the gas as it goes from point B to C? As always, take care with signs. Satm Yatm

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2020Q3: Please answer all parts in specific detail and explain each step with reasoning
3)
P-V diagram for a monatomic ideal gas
A monatomic ideal gas in a cylinder undergoes a cycle consisting of three processes, as shown in the P-V
(pressure vs. volume) diagram. The gas expands at constant pressure from point A to B, it follows a straight
path from point B to C, and finally undergoes a constant temperature compression from point C to A. The gas
consists of a fixed number of N= 1000×NA- 6x1026 particles. You may approximate Boltzmann's constant as
kB - 10-23 J/K, and 1atm 105 N/m².
a) What is the internal energy of
the gas at point A?
batm
b) What is the temperature of the
gas at point B?
c) How much work is done by the
gas as it goes from point B to C?
As always, take care with signs.
Satm
4atm
d) How much heat is exchanged
with the gas from point C to A?
If the heat exchange is nonzero,
3atm
indicate whether heat is added
or removed from the gas.
2atm
e) What is the change in the
internal energy of the gas as it
goes along the path A → B → C?
Tatm
Oatm
Om Im3
V
2m3 3 m? 4m? Sm? bm3 7n3 8m?
Transcribed Image Text:3) P-V diagram for a monatomic ideal gas A monatomic ideal gas in a cylinder undergoes a cycle consisting of three processes, as shown in the P-V (pressure vs. volume) diagram. The gas expands at constant pressure from point A to B, it follows a straight path from point B to C, and finally undergoes a constant temperature compression from point C to A. The gas consists of a fixed number of N= 1000×NA- 6x1026 particles. You may approximate Boltzmann's constant as kB - 10-23 J/K, and 1atm 105 N/m². a) What is the internal energy of the gas at point A? batm b) What is the temperature of the gas at point B? c) How much work is done by the gas as it goes from point B to C? As always, take care with signs. Satm 4atm d) How much heat is exchanged with the gas from point C to A? If the heat exchange is nonzero, 3atm indicate whether heat is added or removed from the gas. 2atm e) What is the change in the internal energy of the gas as it goes along the path A → B → C? Tatm Oatm Om Im3 V 2m3 3 m? 4m? Sm? bm3 7n3 8m?
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