One cubic meter of air at a pressure of 1.5 bar and \(80^{\circ} \mathrm{C}\) is compressed to final pressure 8 bar and volume \(0.28 \mathrm{~m}^{3}\). Determine: (i) mass of air, (ii) index of ' \(n\) ' compression, (iii) change in internal energy, and (iv) Heat transfer during compression. Take \(\mathrm{y}=1.4\) and \(\mathrm{R}=287 \mathrm{~J} / \mathrm{kgK}\).