a gas sample heated in a cylinder uses 650kJ of heat. a piston that compresses this gas does 800kJ of work. What is the change in internal energy, ^E of the gas during this process?

To calculate the change in internal energy (∆E) of the gas during the process, we can use the First Law of Thermodynamics, which states that the change in internal energy (∆E) of a system is equal to the heat added to the system (Q) minus the work done by the system (W):

∆E = Q - W

Given that the heat added to the system (Q) is 650 kJ and the work done by the system (W) is 800 kJ, we can substitute these values into the formula:

∆E = 650 kJ - 800 kJ

∆E = -150 kJ

Therefore, the change in internal energy (∆E) of the gas during this process is -150 kJ.