Answer :
The change in internal energy for the system is -19.8 kJ.
To calculate the change in internal energy (ΔU) for the system, we need to consider the heat transferred (q) and the work done (w) by the system.
q = -35.8 kJ (negative value indicates heat being given off by the system)
ΔV = 16 L - 8 L = 8 L (change in volume)
P = 2 atm (constant pressure)
To calculate the work done (w), we can use the equation w = -PΔV, where P is the pressure and ΔV is the change in volume. Substituting the given values, we have:
w = -(2 atm)(8 L) = -16 L·atm
The change in internal energy (ΔU) is calculated using the equation ΔU = q - w. Substituting the given values:
ΔU = (-35.8 kJ) - (-16 L·atm) = -35.8 kJ + 16 L·atm
Now we can calculate the change in internal energy:
ΔU = -35.8 kJ + 16 L·atm = -19.8 kJ
Therefore, the change in internal energy for the system is -19.8 kJ. The negative sign indicates that the internal energy of the system has decreased as it gave off heat and did work in expanding against the constant pressure.
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