Through a particular state of an ideal gas

PHYSICS · Single correct · CBSE · Physics · Thermodynamics · Thermodynamics

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

(b)

2

(c)

1.40

(d)

1.50