Is 214/82 pb --> 0/-1e + 214/81 ti balanced

No, your equation is not balanced.

The main point to remember in balancing nuclear equations is that the sums of the superscripts and the subscripts must be the same on each side of the equation.  

Sum of superscripts: 214 = 0 + 214.  

Sum of subscripts: 82 ≠ -1 + 81.

Your subscripts are not balanced.

If the equation represents the β decay of lead-214, you must write it as

"standard molar enthalpy:

h2o ( liquid water ) : - 285.8 kj/mole

h2o ( water vapor ) : - 241.8 kj / mole.

δhrxn = - 241. 8 - ( - 285.8 )= -241.8 + 285.8 = 44.0

answer: 44.0 kj"