Question

One mole of an ideal monatomic gas is expanded from an initial state at 3 bar and 450 K to a final state at 2 bar and 250 K. There are two different paths for this expansion:
path 1: (1 mole ideal gas, 3 bar, 450 K) → (1 mole ideal gas, 3 bar, 250 K) → (1 mole ideal gas, 2 bar, 250 K)
path 2: (1 mole ideal gas, 3 bar, 450 K) → (1 mole ideal gas, 2 bar, 450 K) → (1 mole ideal gas, 2 bar, 250 K)

Part A

Specify the paths carefully.

Check all that apply.

	path 1: the first step is isobaric, the second is isothermal; both steps are reversible
	path 2: the first step is isothermal, the second is isobaric; both steps are irreversible
	path 1: the first step is isothermal, the second is isobaric; both steps are reversible
	path 2: the first step is isothermal, the second is isobaric; both steps are reversible
	path 1: the first step is isothermal, the second is isobaric; both steps are irreversible
	path 2: the first step is isobaric, the second is isothermal; both steps are reversible

Part B

Calculate w for the path 1.

Express your answer to three significant figures and include the appropriate units.

Part C

Calculate q for the path 1.

Express your answer to three significant figures and include the appropriate units.

Part D

Calculate w for the path 2.

Express your answer to three significant figures and include the appropriate units.

Part E

Calculate q for the path 2.

Express your answer to three significant figures and include the appropriate units.

Part F

Calculate ΔU for the path 1.

Express your answer to three significant figures and include the appropriate units.

Part G

Calculate ΔS for the path 1.

Express your answer to three significant figures and include the appropriate units.

Part H

Calculate ΔU for the path 2.

Express your answer to three significant figures and include the appropriate units.

Part I

Calculate ΔS for the path 2.

Express your answer to three significant figures and include the appropriate units.

Answer 1