use the following data, as appropriate, to estimate the molarity of a saturated aqueous solution of Sr(IO3)2.
Molarity of a saturated aqueous solution of Sr(IO3)2
Sr(IO3)2(s)
delt h kJ/mol=-1019.2
delta G kJ/mol=-855.1
delta S= 234 J mol-1K-1
Sr^2+(aq)
delta h= -545.8 kJ/mol
delta G= -599.5
delta s= -32.6 j /mol*k
IO3^-(aq)
delta h= -221.3 kj/mol
delta g= -128.0 kj/mol
delta s= 118.4 J/mol*k
To estimate the molarity of a saturated aqueous solution of Sr(IO3)2 using the given data, we need to use the formula for Gibbs Free Energy (ΔG):
ΔG = ΔH - TΔS
where ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
Given values:
ΔH (Sr(IO3)2) = -1019.2 kJ/mol
ΔG (Sr(IO3)2) = -855.1 kJ/mol
ΔS (Sr(IO3)2) = 234 J/mol*K
ΔH (Sr^2+) = -545.8 kJ/mol
ΔG (Sr^2+) = -599.5 kJ/mol
ΔS (Sr^2+) = -32.6 J/mol*K
ΔH (IO3^-) = -221.3 kJ/mol
ΔG (IO3^-) = -128.0 kJ/mol
ΔS (IO3^-) = 118.4 J/mol*K
To estimate the molarity, we need to find the standard state Gibbs Free Energy change (ΔG°) for the reaction:
Sr(IO3)2(s) → Sr^2+(aq) + 2IO3^-(aq)
We can calculate ΔG° using the equation:
ΔG° = ΔG(products) - ΔG(reactants)
ΔG° = (-599.5 kJ/mol + 2(-128.0 kJ/mol)) - (-855.1 kJ/mol)
ΔG° = -855.5 kJ/mol
Now, we can use the equation ΔG° = -RTln(K)
where R is the gas constant (8.314 J/mol·K) and K is the equilibrium constant. Rearranging the equation, we get:
ln(K) = -ΔG° / (RT)
To convert kJ to J, we need to change the units:
ΔG° = -855.5 kJ/mol * (1000 J/1 kJ) = -855500 J/mol
Now, we can substitute the values into the equation using the given temperature in Kelvin:
ln(K) = -(-855500 J/mol) / (8.314 J/mol·K * T)
Since we don't have the temperature (T), we cannot solve for K directly. However, we can estimate the molarity of the saturated aqueous solution using the formula:
Molarity = K * molar mass of the solute
The molar mass of Sr(IO3)2 is:
Sr: 87.62 g/mol
I: 126.9 g/mol
O: 16.00 g/mol
So, molar mass of Sr(IO3)2 = 87.62 + (126.9 * 2) + (16.00 * 6) = 407.42 g/mol
Now, we can multiply the estimated equilibrium constant (K) by the molar mass of Sr(IO3)2 to find the molarity.
Molarity = K * molar mass of Sr(IO3)2
Please note that to obtain a more accurate molarity estimation, the specific temperature (T) needs to be provided.