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No final temperature is given, so I assume it is negligible! Steam reforming of

ID: 1045317 • Letter: N

Question

No final temperature is given, so I assume it is negligible!

Steam reforming of methane (CH4) produces "synthesis gas," a mixture of carbon monoxide gas and hydrogen gas, which is the starting point for many important industrial chemical syntheses. An industrial chemist studying this reaction fills a 1.5 L flask with 4.8 atm of methane gas and 3.1 atm of water vapor at 46.0 °C. He then raises the temperature, and when the mixture has come to equilibrium measures the partial pressure of carbon monoxide gas to be 2.2 atm. Calculate the pressure equilibrium constant for the steam reforming of methane at the final temperature of the mixture. Round your answer to 2 significant digits. K = 0x100 x n ?

Explanation / Answer

no of mol of CH4 gas = PV/RT

                = 4.8*1.5/(0.0821*319.15)

                = 0.275 mol

No of mol of steam = 3.1*1.5/(0.0821*319.15)

                   = 0.177 mol

at equilbrium,

no of mol of CO = 2.2*1.5/(0.0821*319.15)

                 = 0.126 mol

           CH4(g)   +   H2O(g) <-----> CO(g) +   3H2(g)

initial    0.275        0.177              -          -

change    -0.126       -0.126          +0.126       +0.378

equil     0.149 mol    0.051 mol        0.126       0.378 mol

total no of mol = 0.149+0.051+0.126+0.378 = 0.704 mol

ptotal = nRT/V

         = 0.704*0.0821*319.5/1.5

         = 12.3 atm

at equilibrium,

pCH4 = 0.149/0.704*12.3 = 2.6 atm

pH2O = 0.051/0.704*12.3 = 0.89 atm

pCO = 0.126/0.704*12.3 = 2.2 atm

pH2 = 0.378/0.704*12.3 = 6.6 atm


Kp = pCO*pH2^3/pCH4*pH2O

   = 2.2*6.6^3/(0.89*2.6)

    = 273.33

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