In an air standard diesel cycle, the temperatures at the start and at the end of compression stroke are \(298 \mathrm{~K}\) and \(800 \mathrm{k}\), respectively. The energy added at constant pressure is \(800 \mathrm{~kJ} / \mathrm{kg}\) of air. Determine: (i) compression ratio, (ii) cutoff ratio, (iii) maximum cycle temperature, and (iv) thermal efficiency. Assume \(C_{\mathrm{p}}=1.005 \mathrm{~kJ} / \mathrm{kg}\).