Imagine a thermally insulated container with a gas ofparticles that interact with one another only via the law of gravitation. That is theinteraction energy between any two particles is given by -Gm2 / R where R is the interparticledistance and G is the gravitational constant. Suppose that the gas is uniforminitially. Describe the future of the gas. Is your answer consistent with the 2nd law ofthermodynamics? (Note: solving this problem may tell you a few things about the earlyUniverse and about how galaxies and solar systems have formed).