(Solved): 2) The heat capacity of nitrogen gas is given by the Shomate equation: \[ c_{p}=A+B t+C t^{2}+D t^{ ...

2) The heat capacity of nitrogen gas is given by the Shomate equation: \[ c_{p}=A+B t+C t^{2}+D t^{3}+E / t^{2} \] where \( A=19.50583, B=19.88705, C=-8.598535, D=1.369784 \) and \( E=0.527601 \) \( \left(c_{p}\right. \) in \( \mathrm{J} \mathrm{mol}^{-1} \mathrm{~K}^{-1}, t= \) Temperature (K) \( \left./ 1000\right) \). Calculate the mean molar heat capacity of nitrogen between \( 600 \mathrm{~K} \) and \( 2000 \mathrm{~K} \). c. Hydrogen is produced by reacting natural gas (methane) with steam in a reformer, using a nickel-based catalyst. The pure natural gas feed enters the process at \( 500^{\circ} \mathrm{C} \) and the reformer operates at \( 850^{\circ} \mathrm{C} \). i. Write down the balanced chemical equation for the steam reformation of methane to form hydrogen and carbon monoxide. [1 mark] ii. State Hess' Law and write an expression for the standard heat of reaction. [3 marks] iii. Determine the heat requirement of the steam reformation process and comment on the sign of your answer. [10 marks] Heats of formation are given in Table 1 and mean molar heat capacities are given in Table 2.