1. Assume you have gas in a cylinder equipped with a piston. There are weights on the piston creating pressure down on the gas.
a. Provide an expression for the total energy of the universe using the energy of the gas inside cylinder as the energy of the system, the external pressure is the weight and the energy of the surroundings
b. If the weights are removed does the energy of the universe change?
c. Once the piston moves to it new position how has the energy of the system (gas inside the piston) changed (increased, decreased, or unaffected)?
d. Once the piston moves to it new position how has the energy of the surroundings (everything besides the gas) changed (increased, decreased, or unaffected)?
e. Is energy more or less concentrated in the final state?