Please explain where was 3/2 attained? Where did it came from from the formula below?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 86AP: Five moles of a monatomic ideal gas in a cylinder at 27 is expanded isothermally from a volume of 5...
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Please explain where was 3/2 attained? Where did it came from from the formula below?

Please answer the following and show the complete solution:
ANSWERS:
a. 3000J
b. 1000J
An ideal gas expands isothermally
from state A to state B. The gas
then cools at constant volume to
state C. The gas is then
compressed isobarically to D before it is heated until it returns to state A.
(a) What is the internal energy of the gas at point B?
(b) What is the net amount of work done after one complete cycle?
D
Considering the gas is monoatomic ideal gas,
a) The internal energy of the gas at point B,
U =
nRT
V=V=2 liters
P, 10 atm
P=2 atm
V=V=4 liters
T₁=327 °C
Transcribed Image Text:Please answer the following and show the complete solution: ANSWERS: a. 3000J b. 1000J An ideal gas expands isothermally from state A to state B. The gas then cools at constant volume to state C. The gas is then compressed isobarically to D before it is heated until it returns to state A. (a) What is the internal energy of the gas at point B? (b) What is the net amount of work done after one complete cycle? D Considering the gas is monoatomic ideal gas, a) The internal energy of the gas at point B, U = nRT V=V=2 liters P, 10 atm P=2 atm V=V=4 liters T₁=327 °C
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