For CS2(g) + 4H2(g) forming CH4(g) + 2H2S(g), Kc = 0.28 at 900 degrees Celsius. What is Kp?
AKp = 3.0 x 10^-5
BKp = 2.6 x 10^3
CKp = 3.4 x 10^-3
DKp = 0.28 exactly
Answer & Solution
Correct answer: A. Kp = 3.0 x 10^-5
1. Count gaseous moles: products give 1 + 2 = 3, reactants give 1 + 4 = 5.
2. So delta n = 3 minus 5 = minus 2.
3. Convert the temperature: 900 degrees Celsius is 1173 kelvin.
4. With R = 0.0821, the product RT = 0.0821 x 1173 = 96.3.
5. Square it: 96.3 x 96.3 = 9.27 x 10^3.
6. Apply the rule: Kp = 0.28 divided by 9.27 x 10^3 = 3.0 x 10^-5.
7. Multiplying instead of dividing would give the trap value near 2.6 x 10^3.
8. Kp equals Kc only when delta n is zero, which is not the case here.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 13 "Fundamental Equilibrium Concepts", section 13.2 Equilibrium Constants_
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