2. A sample of n moles of a monatomic ideal gas are taken from a temperature of To to a temperature of 8T, via a process given by V = AT2. Find an expression for all the quantities listed below in terms of n, R, A, and To. a. Find an expression for the initial and final volumes and pressures of the gas. b. Find the work done by the gas during this process. (Hint: Find the relationship between dV and dT) c. Find the change in heat for the gas during this process. d. Find the change in entropy for the gas during this process.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
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Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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2.
A sample of n moles of a monatomic ideal gas are taken from a temperature of To to a
temperature of 8T, via a process given by V = AT². Find an expression for all the quantities listed
below in terms of n, R, A, and To.
a. Find an expression for the initial and final volumes and pressures of the gas.
b. Find the work done by the gas during this process. (Hint: Find the relationship between dV and
dT)
c. Find the change in heat for the gas during this process.
d. Find the change in entropy for the gas during this process.
Transcribed Image Text:2. A sample of n moles of a monatomic ideal gas are taken from a temperature of To to a temperature of 8T, via a process given by V = AT². Find an expression for all the quantities listed below in terms of n, R, A, and To. a. Find an expression for the initial and final volumes and pressures of the gas. b. Find the work done by the gas during this process. (Hint: Find the relationship between dV and dT) c. Find the change in heat for the gas during this process. d. Find the change in entropy for the gas during this process.
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