Gchem question

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vindicate

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3A+2B->8C
at equilibrium, total pressure is 1. Kp = ?
initial conditions, .5 atm = A, .2 atm = B.
i am aware that you can solve this by doing it the other way which involves
A B C
.5 .2 0
.5-3x .2-2x 0+8x

1= .5-3x+.2-2x+8x
then solving for X.

My question however, is:
is there a problem with using mole fractions to solve for concentration of each to then solve for Kp?

for example mole fraction of A = 3/(3+5+8)
partial pressure = mole fraction * total pressure (1)
total moles = partial pressure / moles of A

which then you can plug into Kp = (c)^8/ ((a)^3+(b)^5))

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