To what height could a weight of 500 g be raised due to the energy released when a 196 cm3

To what height could a weight of 500 g be raised due to the energy released when a 196 cm3 glass of boiling water is cooled to 0 degrees?

Q = C * m * (tн – tк), С – beats. heat capacity (C = 4200 J / (kg * K)), m – mass of boiling water (m = ρ * V, ρ – density (ρ = 1000 kg / m³), V – volume (V = 196 cm³ = 196 * 10 ^ -6 m³)), tн – early. temperature (tн = 100 ºС), tк – end. temperature (tк = 0 ºС).
Q = C * m * (tн – tк) = 4200 * 1000 * 196 * 10 ^ -6 * (100 – 0) = 82320 J.
Q = A = Ft * S, Ft = m * g (m is the mass of the weight (m = 500 g = 0.5 kg), g = 10 m / s²), S is the lifting height.
S = Q / Fт = Q / (m * g) = 82320 / (0.5 * 10) = 16464 m.