(Solved): use x=5kW For large-scale stationary applications, mass and volume considerations for a fuel source ...

For large-scale stationary applications, mass and volume considerations for a fuel source are much less critical than when fuels are used in transportation. It, therefore, maybe the most reasonable to sacrifice compactness to minimize requirements for expensive advanced technologies. Consider a plan to provide power to Durham, with a population of about 100,000 , using hydrogen fuel cells with an efficiency of \( 60 \% \). The average net per-capita power consumption is \( 6 \mathrm{~kW} \) for electricity, heat, and power for an electric vehicle. (If your student ID is an even number, e.g. your ID is W20xxxxx2, use \( X=5 \mathrm{~kW} \) and for odd student numbers, e.g. W20xxxxx5, use \( X \) \( =6 \mathrm{~kW} \) ) a) Calculate the volume of hydrogen needed to provide Durham's energy for one month if the hydrogen is stored at a (relatively low) pressure of \( 10 \mathrm{~atm} \). [15 marks] b) If Durham has a land area of \( 30 \mathrm{~km}^{2} \), what fraction of this area would need to be devoted to hydrogen storage if the storage tanks were vertical cylinders \( 3 \mathrm{~m} \) in diameter and \( 5 \mathrm{~m} \) high and were packed tightly together in a square array? [10 marks]