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Chemical Engineering · Q98

Chemical Engineering Thermodynamics

Engineering and GATE · Chemical Engineering · question 98

Q98

On a P-V diagram of an ideal gas, suppose a reversible adiabatic line intersects a reversible isothermal line at point A. Then at a point A, the slope of the reversible adiabatic line ( P V )_ S and the slope of the reversible isothermal line ( P V )_ T are related as (where, y = C_ p C_ v )

On a P-V diagram of an ideal gas, suppose a reversible adiabatic line intersects a reversible isothermal line at point A. Then at a point A, the slope of the reversible adiabatic line  and the slope of the reversible isothermal line  are related as (where,  )
A.
B.
C.
Answer
D.

Answer: Option C

Solution

Answer: Option C
Solution:
For an adiabatic process → = constant
For an isothermal process → = constant
So, slope for adiabatic process in plane is
Slope for isothermal process is
Hence,