If the heating of water is at atmospheric pressure and below boiling conditions a simplified result would be:
S=w(t2-t1)/(H-t2)
from an enthalpy balance,
S.H+w.Cp.t1=(w+S)Cp.t2
where
S: mass of steam; w: original mass of water; t1,2: water temperatures, initial and final; H: enthalpy of steam from tables.
The above assumes the heat capacity, Cp, of water is constantly equal to 1.0.
Use consistent units.