A 4.00 mole sample of an ideal monatomic gas, originally at a volume V1 = 0.05 cubic meters and a temperature T1= 305 K, undergoes a two-step reversible process: I) First, it is expanded isothermally until the volume has been doubled; then, II) It is compressed at constant pressure until the gas is back to its initial volume. a) Calculate the initial pressure in units of Pascals. b) Calculate the temperature of the gas in its final state, in Kelvins. c) Calculate the change in entropy for the gas for step-II O the constant pressure process O ONLY - in units of Joules/Kelvin.

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A 4.00 mole sample of an ideal monatomic gas, originally at a volume \(V_1 = 0.05\) cubic meters and a temperature \(T_1 = 305\) K, undergoes a two-step reversible process:

I) First, it is expanded isothermally until the volume has been doubled; then,  
II) It is compressed at constant pressure until the gas is back to its initial volume.

a) Calculate the initial pressure in units of Pascals. [Textbox]

b) Calculate the temperature of the gas in its final state, in Kelvins. [Textbox]

c) Calculate the change in entropy for the gas for step-II (the constant pressure process), only in units of Joules/Kelvin. [Textbox]

d) What is the change in the internal energy of the gas, in Joules, for Step-I? [Textbox]

e) What is the change in the internal energy of the gas, in Joules, for Step-II? [Textbox]

f) What is the work done by the gas, in Joules, for Step-I? [Textbox]

g) What is the work done by the gas, in Joules, for Step-II? [Textbox]

h) What is the heat added or removed from the gas, in Joules, for Step-I? [Textbox]

i) What is the heat added or removed from the gas, in Joules, for Step-II? [Textbox]
Transcribed Image Text:A 4.00 mole sample of an ideal monatomic gas, originally at a volume \(V_1 = 0.05\) cubic meters and a temperature \(T_1 = 305\) K, undergoes a two-step reversible process: I) First, it is expanded isothermally until the volume has been doubled; then, II) It is compressed at constant pressure until the gas is back to its initial volume. a) Calculate the initial pressure in units of Pascals. [Textbox] b) Calculate the temperature of the gas in its final state, in Kelvins. [Textbox] c) Calculate the change in entropy for the gas for step-II (the constant pressure process), only in units of Joules/Kelvin. [Textbox] d) What is the change in the internal energy of the gas, in Joules, for Step-I? [Textbox] e) What is the change in the internal energy of the gas, in Joules, for Step-II? [Textbox] f) What is the work done by the gas, in Joules, for Step-I? [Textbox] g) What is the work done by the gas, in Joules, for Step-II? [Textbox] h) What is the heat added or removed from the gas, in Joules, for Step-I? [Textbox] i) What is the heat added or removed from the gas, in Joules, for Step-II? [Textbox]
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