An imaginary engine, is capable of expanding the gas up to ${10}^{13}$ times. If the engine expands the gas upto the maximum possible extent isothermally at 300 K, then work done by gas is x, whereas if the engine expands upto the maximum possible extent adiabatically, at an initial temperature of $300 \mathrm{K}$ the temperature falls to - 160.6 K and the work done by gas is y. If the gas is He and all process are reversible in nature, calculate by how many times x is greater than y.