ENGR266 2025 Section B Q4Past paperOld spec ENGR2662:214 marks17 min

ENGR266 Summer 2025 Section B Q4[VALID]

For the cracking reaction shown below, calculate the fraction of propone, C3H8C_3H_8, that reacts if the equilibrium constant, K=2K = 2. You can assume that the reaction takes place in the gas phase at standard pressure, but you should state any further assumptions that you make.

C3H8(g)↔C2H4(g)+CH4(g)C_3H_{8(g)} \leftrightarrow C_2H_{4(g)} + CH_{4(g)}

Formulas you may need
  • Equilibrium constant for ideal gases: K=∏i(yiPP∘)νiK = \prod_i\left(\dfrac{y_iP}{P^\circ}\right)^{\nu_i} (on the formula sheet as KP=∏PiνiK_P = \prod P_i^{\nu_i})
  • Extent of reaction: ni=ni0+νiεn_i = n_{i0} + \nu_i\varepsilon, yi=ni/∑niy_i = n_i/\sum n_i (learn this)