2) Calculate the internal energy change in each of the following cases:
a) A system absorbs 15kJ of heat and does 5kJ of work.
b) 5kJ of work is done on the system and 15kJ of heat is given out by the system.
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Answer:
According to first law of thermodynamics:
∆U= q + w
(i) q = + 15kJ
w= -5 kJ
Using above equation:
∆U = 15 + (-5) = 10 kJ
Thus, internal energy of the system increases by 10 kJ.
(ii) Here, w = + 5 kJ
(work done on the system is positive)
q = -15 kJ ( heat is given out, so negative)
∆U = -15 + (+5) = -10 kJ
Thus, the internal energy of the system decreases by 10 kJ.
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