Does the internal energy of an ideal gas change in an adiabatic process?

In which of the following processes,heat is neither absorbed nor released by a system?

The volume of a gas is reduced adiabatically to $\frac{1}{4}$ of its initial volume at $27^{\circ}C$. If the value of $\gamma = 1.4$,then the new temperature will be:

Consider a thermodynamic process where internal energy $U = A P^2 V$ $(A = \text{constant})$. If the process is performed adiabatically, then:

The work done in an adiabatic change in an ideal gas depends upon only

In case of an adiabatic process,the correct relation in terms of pressure $p$ and density $\rho$ of a gas is: