Adiabatic Process Questions

Assertion: Air quickly leaking out of a balloon becomes cooler.Reason: The leaking air undergoes adiabatic expansion.

If $\Delta U$ and $\Delta W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?

A diatomic gas ($\gamma =1.4$) at $2\text{atm}$ is compressed adiabatically so temp rises from $27^{\circ }\text{C}$ to $927^{\circ }\text{C}$. Final pressure is:

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is: