At 87°C 22.0 miles of X (g) , 33.0 moles of Y2 (g) and 4.0 moles of X3Y5 (g) are mixed in a 80.0 liter container. At equilibrium 10.0 moles of the product gas are present. Calculate Kc and Kp 6X (g) + 5 Y2 (g) --> 2 X3Y5 (g)
Step 1. Create an ICE table:
6 X (g) | 5 Y2 (g) | ------> | 2 X3Y5 (g) | |
initial | 22 mol | 33 mol | 4 mol | |
change | -18 mol = -6 x 3mol | -15 mol = -5 x 3mol | + 6 mol = 2 x 3 mol | |
equilibrium | = 4 mol | = 18 mol | 10 mol |
Step 2. Find molarities in equilibrium:
[X] = 4.0 moles / 80.0 L = 0.05 M
[Y2] = 18.0 moles / 80.0 L = 0.225 M
[X3Y5] = 10.0 moles / 80 L = 0.125 M
Step 3. Set up the equation and solve for Kc:
Step 4. Set up the equation and solve for Kp:
T = 87 °C = 360.15 K
n = ( 2 ) - ( 6+5 ) = -9
R = 0.0821 L atm / mol K
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