One mole of ammonia gas is contained in a vessel which is capable of changing its volume (a compartment sealed by a piston, for example). The total energy U (in Joules) of the ammonia is a function of the volume V (in cubic meters) of the container, and the temperature T (in degrees Kelvin) of the gas. The differential dU is given by dU=840dV+27.32dT. (a) How does the energy change if the volume is held constant and the temperature is decreased slightly? A. it decreases slightly B. it does not change C. it increases slightly (b) How does the energy change if the temperature is held constant and the volume is increased slightly? A. it decreases slightly B. it increases slightly C. it does not change (c) Find the approximate change in energy if the gas is compressed by 500 cubic centimeters and heated by 6 degrees Kelvin. Change in energy = -419836.08 J . Please include units in your answer.