Help in equillibrium problem with directon of net change

[tribalman100]

Homework Statement

The following amounts of substances are added to a 7.25 L reaction vessel at 773K:
(.103 mol CO) , (.205 mol H2), ( 2.1 mol CH4), ( 3.15 mol H20). In what direction will a net reaction occur to react equilibrium.

CO(g) + 3H2(g) --------> CH4(g) + H20 (g)
<-------

Kp= 102 at 773K

The answer to this problem is a slight net reaction occurs to the right because QP (98.4) is slightly less than Kp (102)

The problem i have is everytime i try to do the work i can't get the Qp to = 98.4

If someone will help me i will be very greatful

Homework Equations

The Attempt at a Solution

here is my attempt sry i forgot to post it

first i put all the moles in molarity and got the folloying
CO--- .42 M
H2--- .28
CH4--- .014
H2) --- 2x10-5 when you cube it cause of the coefficient

Then i put a Qp equation

Qp= ( .42)(.28)
--------------------
------( .014)(2e-5)

Final answer i got was Qp= 420000 way off i can't figure out why

 

[chemisttree]

The reaction quotient (Qp) in this case refers to the partial pressures of each of the species (rather than molarity). I believe the exponent for each of the partial pressures if given by the mole fraction of each species.

 

[Blueshift5]

Based on the given information, it seems like you are trying to calculate the equilibrium constant (Kp) using the Qp equation. However, the problem is asking for the direction of net change in the reaction, not the equilibrium constant.

To determine the direction of net change, you need to compare the value of Qp (reaction quotient) to Kp (equilibrium constant).

In this case, Qp= 98.4 and Kp= 102. Since Qp is slightly less than Kp, this means that the reaction is not yet at equilibrium and a slight net reaction will occur to the right to reach equilibrium. This means that more products (CH4 and H2O) will be formed and some reactants (CO and H2) will be consumed to reach equilibrium.

I hope this helps clarify the problem for you. It's important to read the question carefully and make sure you are using the correct equations and concepts to solve it.