ThermodynamicsHard

Question

Two adiabatic processes involving an ideal gas are plotted on a P - V diagram. A and B are two points on these curves as shown in the diagram. Which of the following statements is TRUE?
         

Options

A.Heat is given to system in the process AB
B.Heat is rejected by system in the process AB
C.Whether heat is rejected or absorbed by the system during the process AB depends on the magnitude of the slope of line AB
D.Whether heat is rejected or absorbed by the system during the process AB depends on the position of the points A and B on the P - V diagram.

Solution

       
ᐃVABCA = 0, wABCA = + z
For process B to C
QB → C = 0
WB → C = x, ᐃVB → C = - x
for process (Isochoric) C to A
⇒ ᐃVC → A = - y ⇒ QC → A = - y
QABCA = WABCA
⇒ QA → B + QB → C + QC → A = + z
⇒ QA → B + 0 + C - y) = + z
⇒ QA → B = z + y > 0

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