If an ideal flask containing hot coffee is shaken, the temperature of the coffee will:

An ideal gas undergoes a cyclic process as shown in the given $P-T$ diagram, where the process $AC$ is adiabatic. The process is also represented by

Two samples of air $A$ and $B$ having same composition and initially at same temperature $T$, pressure $P$ and volume $V$ are taken. $A$ and $B$ are made to undergo the following process:

Case $1: A$ and $B$ are compressed from volume $V$ to volume $\frac{V}{2}\text{.} A$ is compressed isothermally while $B$ is compressed adiabatically. The final pressure are $P_{\mathrm{AC}}$ and $P_{\mathrm{BC}}$, respectively.

Case: $2A$ and $B$ are allowed to undergo expansion from volume $V$ to volume $2V$. $A$ undergoes isothermal expansion while $B$ undergoes adiabatic expansion. The final pressures of $A$ and $B$ are $P_{\mathrm{AE}}$ and $P_{\mathrm{BE}}$, respectively.