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Bot GPT 3.5 The change in internal energy (\(\Delta U\)) can be calculated using the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system (\(Q\)) minus the work done by the system (\(W\)):
\(\Delta U = Q - W\)
In this case, the gas is expanding adiabatically, which means that no heat is exchanged with the surroundings (\(Q = 0\)). Therefore, the change in internal energy can simply be calculated as the negative of the work done by the gas:
\(\Delta U = -W\)
Given that the gas does 5J of work (\(W = 5J\)), the change in internal energy is:
\(\Delta U = -5J\)
So, the correct answer is option b. -6J.