The maximum and minimum cycle temperatures of a cold air-standard Otto cycle are T3 (K) and T1 (K) respectively. Obtain an expression for work of the cycle in terms of mass, specific heat, T1, T3, k, and compression ratio. Assume constants m=.001kg, Cv=.8, k=1.4, T1=300K, and T3=2000K. Plot work as a function of compression ratio r and determine the r that yields maximum work.