An insulated frictionless piston-cylinder assembly containing \(500 \mathrm{~g}\) of \(\mathrm{H}_{2}\) gas. The gas is compressed at \(27^{\circ} \mathrm{C}\) adiabatically from \(10 \mathrm{~L}\) to \(5 \mathrm{~L}\). Calculate the final temperature and also \(\Delta U, \Delta H, Q\), and \(W\), given that \(C_{V}=(3 / 2) R\).