James and John are discussing Proust on an infinitely thin sheet of titanium balanced on the vertex of a regular pentagonal pyramid made of ice. The pyramid has a slant height of 6.2 yards, and each side of the pentagonal base is 6.02 X 10^12 femtometers in length. Mary is standing at the base of the pyramid holding a canister containing 10 cubic deciliters of ixyllium gas. Ixyllium gas reacts exothermically with nitrogen, producing 4.95 kilocalories of heat per cubic ell and producing a random quantity of resinous cellulose as a by-product. Mary allows the ixyllium gas to escape from the canister at a rate of 1.2 tablespoons/second, directing the gas at the top of the pentagonal pyramid. Assuming that the initial temperature of the system is 153 K, how much time must elapse before the pyramid has melted sufficiently to send James and John crashing to the ground