Chemical Thermodynamics Question 392

Question: From the following data AH of the following reactions

$ C(s)+\frac{1}{2}O_2(g)\xrightarrow{{}}CO(g); $

$ \Delta H=-110kJ $ and $ C(s)+H_2O(g)\xrightarrow{{}}CO(g)+H_2(g); $

$ \Delta H=132kJ $

Calculate the mole composition of the mixture of steam and oxygen on being passes over coke at 1273 K, keeping the temperature constant.

Options:

A) 1 : 0.6

B) 0.6 : 1

C) 2 : 3

D) 3 : 2

Show Answer

Answer:

Correct Answer: A

Solution:

  • The first reaction is exothermic and the second reaction is endothermic. If on passing the mixture of $ O_2 $ and $ H_2O $ (steam) over coke while keeping the temperature constant $ \Delta H $ of both the reactions must be same. Moles of $ O_2 $ needed to evolve $ 132kJ $

$ =\frac{0.5\times 132}{110}=0.6 $

Hence steam: $ O_2 $ ratio must be 1 : 0.6



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