1.50 mol of a diester with molecular formula C6H10O4\text{C}_6\text{H}_{10}\text{O}_4C6H10O4 is added to 2.00 mol of water in the presence of an acid catalyst. The mixture is allowed to reach equilibrium at a constant temperature:
C6H10O4(l)+2H2O(l)⇌2CH3COOH(l)+HO(CH2)2OH(l) \text{C}_6\text{H}_{10}\text{O}_4(\text{l}) + 2\text{H}_2\text{O}(\text{l}) \rightleftharpoons 2\text{CH}_3\text{COOH}(\text{l}) + \text{HO}(\text{CH}_2)_2\text{OH}(\text{l}) C6H10O4(l)+2H2O(l)⇌2CH3COOH(l)+HO(CH2)2OH(l)At equilibrium, x molx\text{ mol}x mol of ethanoic acid are present in the mixture. Complete the details of the equilibrium mixture by finding the equilibrium amounts, in terms of xxx, of:
Deduce the structure of the diester C6H10O4\text{C}_6\text{H}_{10}\text{O}_4C6H10O4 used in this reaction.
A new equilibrium mixture of the same substances is prepared at a different temperature.
C6H10O4(l)+2H2O(l)⇌2CH3COOH(l)+HO(CH2)2OH(l) \text{C}_6\text{H}_{10}\text{O}_4(\text{l}) + 2\text{H}_2\text{O}(\text{l}) \rightleftharpoons 2\text{CH}_3\text{COOH}(\text{l}) + \text{HO}(\text{CH}_2)_2\text{OH}(\text{l}) C6H10O4(l)+2H2O(l)⇌2CH3COOH(l)+HO(CH2)2OH(l)At equilibrium, this mixture contains:
The value of the equilibrium constant, KcK_cKc, is 0.360 at this temperature. Calculate the amount of water, in mol, in this new equilibrium mixture.