Partially saturated air at 1 bar and 50 °C is contacted with water in an adiabatic saturator. The air is cooled and humidified to saturation, and exits at 25 °C with an absolute humidity of 0.02 kg water per kg dry air. Use latent heat of vaporization of water as 2450 kJ·kg⁻¹, and average specific heat capacity for dry air and water, respectively, as 1.01 kJ·kg⁻¹·K⁻¹ and 4.18 kJ·kg⁻¹·K⁻¹. If the absolute humidity of air entering the adiabatic saturator is 𝓗 × 10⁻³ kg water per kg dry air, the value of 𝓗 is __________ (rounded off to two decimal places).