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(3b) The solubility product of barium iodate, Ba(IO3)2, is 4.01x10-9. Calculate

ID: 591616 • Letter: #

Question

(3b) The solubility product of barium iodate, Ba(IO3)2, is 4.01x10-9. Calculate G. (3c) Consider the following reaction at 0°C: S(s) + 4N0(g) SO2(g) + 2N20(g) A student places 0.025 moles of solid sulfur and 0.100 moles of nitrogen monoxide gas in a closed 1.00 L container at 0oC for several days. Calculate the number of molecules of NO in the 1.00 L container after equilibrium is reached, given the following thermodynamic data: SO2(g)N20(9) 256 297 S(s) S°(J K mol) 31.9 AHo (kJ mor) 0.00 211 90.4 220 81.6

Explanation / Answer

3b)

G = -RTlnK

G = -8.314 J/mol.K x 273 K ln(4.01 x 10-9) = 43883.88 J = 43.88 kJ

here temperature is not specified ,but I assume it is 273K , might be given in part a please confirm it

b)

we first have to find out K to find the equilibrium conversion

G = Hrxn-TSrxn

Hrxn = Hfp - Hfr

Hfr = heat of formation of reactants

Hfp = heat of formation of products

Hrxn = 2 x 81.6 + (-297) - {4 x 90.4} = -495.4 kJ = 495400 kJ

Similarly

Srxn = Sfp - Sfr

= 220 x 2 + 256 x 1 -{211 x 4 + 31.9 x 1} = -179.9 J/K

Grxn = Hrxn -TSrxn

Grxn = -495400 J - 273K x (-179.9 J/K) = -446287.3 J

Grxn = -RTlnK

K ~ 1085

reaction is almost complete as k is very very high

NO = zero