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Phase mixing of standing Alfven waves has long been considered a possible candidate for coronal heating. In this study, we estimate the heating rate associated with phase mixing of standing Alfven waves. We use a 2.5D model and approximate the transition region as a perfect discontinuity, which allows us to obtain analytic solutions. The model builds on analytic work of previous authors by allowing an arbitrary factor of wave energy, R, to reflect and, 1 – R, to transmit through the transition region. We find that for ideal plasma, with R 1, the wave energy in the corona always grows to a maximum value. Even for ideal plasma, the cross-field gradients converge to a finite value which means an upper bound for the cross-field gradients and hence the heating rate can be calculated. From this, we are able to derive a formula which might be useful for calculating the parameter space under which wave heating could be negligible or non-negligible.