When one mole of sodium carbonate decahydrate (washing soda) is gently warmed,
\(155.3 \mathrm{kJ}\) of heat is absorbed, water vapor is formed, and sodium
carbonate heptahydrate remains. On more vigorous heating, the heptahydrate
absorbs \(320.1 \mathrm{kJ}\) of heat and loses more water vapor to give the
monohydrate. Continued heating gives the anhydrous salt (soda ash) while \(57.3
\mathrm{kJ}\) of heat is absorbed. Calculate \(\Delta H\) for the conversion of
one mole of washing soda into soda ash. Estimate \(\Delta U\) for this process.
Why is the value of \(\Delta U\) only an estimate?