To determine Delta E (the change in internal energy), we need to use the first law of thermodynamics, which states that the change in internal energy is equal to the heat added to the system minus the work done by the system:
Delta E = q - w
Given that q = 773 J (heat absorbed) and w = -PΔV (pressure times change in volume), we can calculate Delta E.
However, the value of w you provided, -(1.977)(2.603), appears to be incorrect. The correct work done by the system can be found by multiplying the change in volume by the external pressure:
w = -PΔV = -(1.977 atm)(6.877 L - 4.274 L)
To perform this calculation, we need to convert the units of atm and L to Joules. The conversion factor is 1 L atm = 101.325 J.
w = -PΔV = -(1.977 atm)(6.877 L - 4.274 L)(101.325 J/L atm)
By evaluating this expression, you will get the correct value for w in Joules.
With the correct values of q and w, you can proceed as follows:
Delta E = 773 J - (correct value of w)
Performing this calculation will give you the final answer for Delta E in Joules.