If I add 12,183 J of energy to an ideal gas inside a balloon causing the internal energy to increase by 5185 J, how much work is done on the environment by the gas as the balloon expands?

8.8 J of work expands an ideal gas in a metal piston cylinder in a bucket of ice water from 3.7 cubic centimeters to 9.9 cubic centimeters. How much heat was transferred from the ice water to the gas?   If you feel this question is incomplete, please explain HOW it is incomplete.

As a gasoline engine is running, the amount of gasoline containing 15,000J of chemical potential energy is burned in 1 s. During that second, the engine does 3,000J of work. The burning gasoline has a temperature of about 2500 K. The waste heat from the engine flows into the air at about 300 K. What is the Carnot efficiency of a heat engine operating between these two temperatures?

A gas expands from I to F in the figure below. The energy added to the gas by heat is 212 J when the gas goes from I to F along the diagonal path. Three paths are plotted on a PV diagram, which has a horizontal axis labeled V (liters), and a vertical axis labeled P (atm). The green path starts at point I (2,4), extends vertically down to point B (2,1), then extends horizontally to point F (4,1). The blue path starts at point I (2,4), and extends down and to the right to end at point F (4,1). The orange path starts at point I (2,4), extends horizontally to the right to point A (4,4), then extends vertically down to end at point F (4,1). (a) What is the change in internal energy of the gas? Use the relations between various features of the graph and the work done on the gas to find the energy added by work and then use your result to find the change in internal energy of the gas. J(b) How much energy must be added to the gas by heat for the indirect path IAF to give the same change in…

Two distinct systems have the same amount of stored internal energy. Assume 500 J are added by heat to the first system, and 300 J are added by heat to the second system. What will be the change in internal energy of the first system if it does 200 J of work? How much work will the second system have to do in order to have the same internal energy?

An air-filled cylinder with a movable piston has a heat reservoir in contact with it. The heat reservoir transfers 850 J of energy into the cylinder. Due to the energy transfer, the piston does 437 J of work on the environment. What is the change in internal energy of the system?

An average force of 64 N acts to move the piston 0.9 m. During the compression, 2 J of heat are conducted away from the gas. What is the change in internal energy (in J) of the gas?