Consider again the compression of 75 kg/s of carbon dioxide from 1 bar and 45 °c. using different overall compression ratios (for example, 3, 6,9,15, 25, 50, 100), plot the following graphs: work requirements vs number of stages outlet temperature vs number of stages capital cost vs number of stages energy cost vs number of stages total annualised cost (tac) (see section 9.7.2 in the prescribed book) vs number of stages determine the number of compression stages that minimises the tac for different overall compression ratios (21) cost data: electricity cost: $0.08/kwh cooling water cost: $ 0.1/m3 capital cost (for compressors and heat exchangers) can be estimated using the correlation provided in the prescribed textbook (equation 7.9 and table 7.2) cooling water is available for use in the heat exchangers. the inlet temperature of cooling water can be taken to be 25 °c and the exit temperature can be specified to be 45 °c. the overall heat transfer coefficient can be assumed to be 150 w/m2. k. consider an interest rate of 15% and a service life of 10 years. nb: state all other assumptions