_______ Application of the Gibbs-Helmholtz equation leads to the prediction that

Question

_______ Application of the Gibbs-Helmholtz equation leads to the prediction that ammonia synthesis becomes thermodynamically favorable above 1000K. _______ If the equilibrium constant for the reaction H_2O(g) + CO(g) = CO_2(g) + H_2(g) is 2.0, the equilibrium conversion of CO exceeds 50% when initially the reacting mixture consists of 2 moles of steam and one mole of CO. _______ If the temperature and pressure are 298 K and 1 atm, the Gibbs energy of mixing 2 moles of N_2 with 8 moles of O_2 exceeds - 5.0 kJ. _______ When repulsive interactions are dominant in a substance, its fugacity coefficient does not exceed 1.0. _______ If the volume (in cc) of an aqueous solution of MgSO_4 varies with molality (m) according to the equation V = 1000.21 + 34.69(m - 0.070)^2, the partial molar volume of the salt is negative when m is 0.05 mol/kg. _______ if there are 10 grams of CuSO_4 in 100 grams of aqueous solution, the molality does not exceed 0.50.

Explanation / Answer

True : Gibbs Helmoholtz equation predicts ammonia production favoured above 1000 K.

True : for the given reaction with equilibrium constant 2, the equilibrium concentration of CO conversion exceeds 50%

K = [CO2][H2]/[H2O][CO]

with x be the change at equilibrium

2 = x^2/(2-x)(1-x)

x^2 - 6x + 4 = 0

x = 0.764

Equilibrium [CO] conversion = 76.4%

True : The gibbs free energy for the mixing of N2 and O2 exceeds -5 kJ.

True : when repulsive interaction for substance dominated its fugacity not exceeds 1

False : with the given equation, the molar volume comes out as postive.

False : Molarity of solution = 10/159.61 x 0.1 = 0.626 M which is greater than 0.50 M

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