Draw the following processes on an Entropy/Temperature diagram for an ideal gas: (a) Isobaric, (b) Isochoric, (c) Isothermic, (d) adiabatic. Calculate the entropy change for each process for a change in temperature of 1K (for the isothermal process, assume the volume changes by 1m3).

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For the Carnot cycle assuming an ideal gas and reversible processes, determine the change in entropy, dS_sys, of the system (not the surroundings) for each of these four steps.

Step 1: isothermal expansion from (V₁,P₁, T₁) to (V₂, P₂, T₁).

Step 2: adiabatic expansion from (V₂, P₂, T₁) to (V₃, P₃, T₂).

Step 3: isothermal compression from (V₃, P₃, T₂) to (V₄, P₄, T₂).

Step 4: adiabatic compression from (V₄, P₄, T₂) to (V₁,P₁, T₁)

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