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For the isomerization reaction: butane ⇌ isobutane Kp equals 25 at 500°C. If the initial pressures of butane and isobutane are 5.0. atm and 0.0 atm, respectively, what are the pressures of the two gases at equilibrium?
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\[K _{p}= {products \over reactants} = 25 \] Also the initial pressures add to 5.0 It's just math from here.\[butane + isobutane = 5.0\]\[{isobutane \over butane} = 25\] Therefore \[{isobutane \over 5.0 - isobutane} = 25\]\[isobutane = 125 - 25 isobutane\]\[isobutane = 4.81atm\]\[butane = 5.0atm -4.81atm = .19atm\] Does this make work? The two still sum to 5.0 and if you divide 4.81 by .19 you get approximately 25 so yes it does work.
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