Physics

Problem

Through a particular state

(P_{0},V_{0})

of an ideal gas, the slope of a certain reversible curve

C

is measured to be

\left(\dfrac{dP}{dV}\right)_{C}=-\dfrac{2P_{0}}{V_{0}}

. The slope of the isothermal curve through the same state is

\left(\dfrac{dP}{dV}\right)_{T}=-\dfrac{P_{0}}{V_{0}}

. If curve

C

happens to be an adiabatic of the gas, the value of

\gamma

for this gas is a)

1.67

2

1.40

1.50