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<u>Answer:</u> The change in internal energy of the gas is 108.835 kJ
<u>Explanation:</u>
To calculate the work done for reversible expansion process, we use the equation:
where,
W = work done
P = pressure = 1.03 atm
= initial volume = 3.00 L
= final volume = 11.0 L
Putting values in above equation, we get:
(Conversion factor: 1 L. atm = 101.325 J)
Calculating the heat from power:
where,
Q = heat required
P = power = 150 W
t = time = 12 min = 720 s (Conversion factor: 1 min = 60 s)
Putting values in above equation:
The equation for first law of thermodynamics follows:
where,
Q = total amount of heat required = 108 kJ
dU = Change in internal energy = ?
W = work done = -0.835 kJ
Putting values in above equation, we get:
Hence, the change in internal energy of the gas is 108.835 kJ