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The molar heat capacity of n-pentane is \[ \frac{C_p}{R} = 2.46 + 45.4 \times 10^{-3}T - 14.1 \times 10^{-6}T^2. \] At 1000 K, the rate of change of molar entropy at constant pressure is \(\underline{\hspace{1cm}}\) J mol\(^{-1}\) K\(^{-2}\).
  • GATE CH - 2021
  • GATE CH
  • Process Calculations and Thermodynamics
  • Second law and Entropy
The van der Waals equation in reduced form is \[ P_r = \frac{8T_r}{3v_r - 1} - \frac{3}{v_r^2}. \] If \(v_r = 3\) and \(T_r = \frac{4}{3}\), compute the compressibility factor \(Z\) (rounded to 2 decimals).
  • GATE CH - 2021
  • GATE CH
  • Process Calculations and Thermodynamics
  • Thermodynamic properties of pure substances
The heat of combustion of methane, carbon monoxide and hydrogen are \(P\), \(Q\) and \(R\) respectively. For the reaction
\[ CH_4 + H_2O \longrightarrow CO + 3H_2 \] the heat of reaction is given by
  • GATE CH - 2021
  • GATE CH
  • Process Calculations and Thermodynamics
  • Reacting and non-reacting systems
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