A 0.020 mol sample of carbon monoxide (CO) is placed in a cylinder fitted with a...

A 0.020 mol sample of carbon monoxide (CO) is placed in a cylinder fitted with a movable frictionless piston. This gaseous sample - initially at volume V_i = 4.00 L - has a pressure of 0.400 atm - identical to the external pressure. This gaseous sample then undergoes a cyclic process. Throughout the cyclic process, the sample is thermostatted at a Kelvin temperature T. The details of this cyclic process:

First, a two-step expansion carried out as follows:
The external pressure is decreased to 0.200 atm and is held constant at this value while the volume change takes place. The first step involves a volume change from V_i to V₁.

Second:
The external pressure is decreased to 0.100 atm and is held constant at this value while the volume change takes place. The second step involves a volume change from V₁ to V₂ .

Next, a one-step compression is carried out:
The external pressure is increased to a value of P_{ext 1C} and is held constant at this value while the volume change takes place. One-step compression involves a volume change from V₂ to a final volume V_f. P_ext
1C and V_f are consistent with the overall process being a cyclic one.

(a) Determine V₁ (in L), V₂ (in L), Vf (in L), and P_{ext 1C} (in atm) for this system and work for each step in the cycle: w_1E , w_2E , and w_1C .

(b) Sketch the two-step expansion on P-V graph

c) Sketch the one-step compression on P-V graph

Solutions

Expert Solution

Amanda K answered 6 months ago

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