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Multiple Choice
What is the equilibrium constant, Kp, for the reaction MgCO3(s) ⇌ MgO(s) + CO2(g) at 25 °C given that ΔG° = 48.2 kJ?
A
Kp = 1.0 x 10^-8
B
Kp = 1.0 x 10^8
C
Kp = 1.0 x 10^3
D
Kp = 1.0 x 10^-3
Verified step by step guidance
1
Understand that the equilibrium constant Kp is related to the Gibbs free energy change (ΔG°) of the reaction. The relationship is given by the equation: , where R is the universal gas constant and T is the temperature in Kelvin.
Convert the temperature from Celsius to Kelvin. Since the temperature is given as 25 °C, use the conversion formula: .
Identify the value of the universal gas constant R. For calculations involving energy, R is typically . Ensure that ΔG° is in the same units, so convert ΔG° from kJ to J by multiplying by 1000.
Substitute the values of ΔG°, R, and T into the equation for Kp: .
Calculate the exponent in the equation and then find the value of Kp by evaluating the expression. This will give you the equilibrium constant for the reaction at the specified temperature.