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Multiple Choice
Consider the following equilibrium, for which Kp = 7.54×10⁻² at 490 °C: 2Cl2(g) + 2H2O(g) ⇌ 4HCl(g) + O2(g). What is the value of Kc for the following reaction? Cl2(g) + H2O(g) ⇌ 2HCl(g) + 0.5O2(g)
A
0.054
B
0.027
C
0.108
D
0.014
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Understand the relationship between Kp and Kc. The equation to convert Kp to Kc is: , where R is the gas constant (0.0821 L atm/mol K), T is the temperature in Kelvin, and Δn is the change in moles of gas.
Convert the temperature from Celsius to Kelvin. The temperature in Kelvin is calculated as: .
Determine Δn for the original reaction. Δn is the difference in moles of gaseous products and reactants. For the reaction 2Cl2(g) + 2H2O(g) ⇌ 4HCl(g) + O2(g), Δn = (4 + 1) - (2 + 2) = 1.
Calculate Kc for the original reaction using the formula: .
Adjust Kc for the modified reaction. Since the modified reaction is half of the original reaction, the Kc value for the modified reaction is the square root of the Kc value for the original reaction.