Balanced chemical equation as in the combustion reaction? and thermodynamic equation meaning the enthalpy one (deltaH = Cp x deltaT, etc.)?
well, if you DO mean that, from the enthalpy of combustion equation, i would say the mass of water and change in temperature would need to be the same (but I'm not sure how to explain why...), initial temperature should be the same because more energy is needed to heat the water to a higher temperature?
and, not looking at the equations but the experiment in general, other controlled variables would be position of the flame (of the spirit burner), and the gap between the wick and beaker. One of my friends said that pressure would need to be kept constant, but you can't really do that in a school can you? Or should I still use it?
Thanks again.

hope you can help me explain why those variables should be kept constant (if they are correct!)