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18 Nov 2019

determine the work done for EACH STEP of a reversible carnot cycle, if the engine contains a van der waals gas.

I've already figured out how to do step 1 to 2 but I need
step 2 to 3
step 3 to 4
step 4 to 1

please stop responding with the same photo only describing 1 step......I need the steps for adiabatic expansion. isothermal and and adiabatic compression.

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Collen VonLv2

11 Jul 2019

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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)

Consider the reversible Carnot cycle shown in the following figure given below with 1.21mol of an ideal gas with CV=5R/2 as the working substance. The initial isothermal expansion occurs at the hot reservoir temperature of Thot = 760K from an initial volume of 3.60L (Va) to a volume of 12.8 L (Vb). The system then undergoes an adiabatic expansion until the temperature falls to Tcold = 310 K. The system then undergoes an isothermal compression and a subsequent adiabatic compression until the initial state described by Ta = 760K and Va = 3.60L is reached.

A) Calculate Vc

B) Calculate Vd

C) Calculate Wab for this step in the cycle

D) Calculate Wbc for this step in the cycle

E) Calculate Wcd for this step in the cycle

F) Calculate Wda for this step in the cycle

G) Calculate Wtotal for the total cycle

H) Calculate E

I) Calculate the amount of heat that is extracted from the heat resevoir to do 1.00kJ of work in the surroundings

This questions is on Physical Chemistry (College Level).

Please, Show that for a reversible, adiabatic expansion of a monatomic gas that obeys the van der Waals equation of state where attractions are negligible that: (Tf/Ti)^(3/2) = [(Molar Vi -b)/Molar Vf-b)], where f=final i=initial-- The subscripts i and f refer to the initial and final states of the system. If any step would differ for a diatomic gas please note this with an explanation in your work.

Thank You In Advance

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