4582Chemical EngineeringMedium
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 = Cp/Cv)?
A(∂P/∂V)S = y(∂P/∂V)T
B(∂P/∂V)S = (∂P/∂V)T
C(∂P/∂V)S = [(∂P/∂V)T]Y
D(∂P/∂V)S = 1/y(∂P/∂V)T
Correct answer
A. (∂P/∂V)S = y(∂P/∂V)T
Explanation
The correct answer is (∂P/∂V)S = y(∂P/∂V)T.