The ratio of the molar specific heats of oxygen is given by the ratio \( \gamma = \frac{C_p}{C_v} \), where:
For a diatomic gas like oxygen (O₂), the value of \( \gamma \) is approximately 1.4.
Thus, the correct ratio of molar specific heats for oxygen is \( \gamma = 1.4 \).
Therefore, the correct answer is (A) 1.4.
The ratio of molar specific heats (γ) for a gas is given by: \[ \gamma = 1 + \frac{2}{f} \] where f is the number of degrees of freedom. For O₂, f = 5, so \[ \gamma = 1 + \frac{2}{5} = 1.4 \]
The left and right compartments of a thermally isolated container of length $L$ are separated by a thermally conducting, movable piston of area $A$. The left and right compartments are filled with $\frac{3}{2}$ and 1 moles of an ideal gas, respectively. In the left compartment the piston is attached by a spring with spring constant $k$ and natural length $\frac{2L}{5}$. In thermodynamic equilibrium, the piston is at a distance $\frac{L}{2}$ from the left and right edges of the container as shown in the figure. Under the above conditions, if the pressure in the right compartment is $P = \frac{kL}{A} \alpha$, then the value of $\alpha$ is ____