In an air standard Otto cycle, the pressure and temperature at the start of compression stroke are 1 bar and \(30^{\circ} \mathrm{C}\), respectively. The temperature at the end of compression is \(270^{\circ} \mathrm{C}\) and heat addition at constant volume is \(2,000 \mathrm{~kJ}\). Calculate: (i) thermal efficiency, (ii) net work per \(\mathrm{kg}\) of air, (iii) maximum temperature in the cycle, and (iv) mean effective pressure.