Method for filling a gas storage tank

A method of filling a storage tank with a gas, the gas being in gaseous phase in order to store the gas in solid phase, the method comprising:

• providing the storage tank, the storage tank containing a reagent, the reagent and the gas being such that, when placed in the presence of each other, a thermochemical reaction occurs, resulting in the absorption of the gas by the reagent and the production of a solid reaction product, and conversely, a desorption reaction occurs of the gas absorbed by the reagent resulting from the application of heat to the reagent when the reagent has absorbed the gas, the absorption and desorption reactions resulting in an equilibrium occurring at an equilibrium pressure and an equilibrium temperature;
• wherein the gas is introduced into the storage tank at a filling temperature and at a filling pressure, the gas showing a saturation vapor pressure at the filing temperature and a vaporization temperature at the filing pressure, the filling pressure being equal to the equilibrium pressure of the reagent at the filling temperature plus α times the difference between the saturation vapor pressure of the gas at the filling temperature and the equilibrium pressure of the reagent at the filling temperature;
• the value of a falling between 0.1 and 0.9 or the filling temperature being equal to the vaporization temperature of the gas at the filling pressure plus β times the difference between the equilibrium temperature of the reagent at the filling pressure and the vaporization temperature of the gas the filling pressure;
• the value of β falling between 0.1 and 0.9.