During the adiabatic expansion of 2 moles of a gas, the internal energy of the gas is found to decrease by 2 joules. The work done during the process on the gas will be equal to:

Explanation

In an adiabatic process, there is no heat exchange with the surroundings (Q = 0). According to the first law of thermodynamics, Q = ΔU + W, where ΔU is the change in internal energy and W is the work done. For this process, ΔU = -2 J, meaning the internal energy of the gas decreases by 2 J. Substituting into the equation gives 0 = -2 J + W. Solving for W, we find that W = 2 J. This means that 2 J of work is done by the gas during the adiabatic expansion.Options B (-1 J) and D (-2 J) are incorrect as they do not satisfy the energy balance described by the first law of thermodynamics for this scenario.