Which of the following is true for dual cycle? [x = Compression ratio, y = Expansion ratio, z = Cut-off ratio]

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  1.  x = yz
  2. x = y + z
  3.  x = y/z
  4.  x = y - z

Answer (Detailed Solution Below)

Option 1 :  x = yz

Detailed Solution

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Concept:

Dual cycle:

Processes in Dual Cycle:

Process 1-2: Isentropic compression  

Process 2-3: Constant volume heat addition

Process 3-4: Constant pressure heat addition

Process 4-5: Isentropic heat rejection

Process 5-1: Constant volume heat rejection

Calculation:

Given:

x = compression ratio, y = Expansion ratio, z = cut-off ratio.

we know that,

 and 

⇒                     ( ∵ v1 = v5)

                (∵ v2 = v3)

∴ x = yz

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