The first law of thermodynamics for a closed system is \( d U=d q+d w \), where \( d w=d w_{p v}...

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The first law of thermodynamics for a closed system is \( d U=d q+d w \), where \( d w=d w_{p v}+d w_{\text {non-pv }} \). The most common type of \( w_{\text {non-pv }} \) is electrical work. As per IUPAC convention work done on the system is positive.
A system generates \( 50 \mathrm{~J} \) of electrical energy, has \( 150 \mathrm{~J} \) of pressure-volume work done on it by the surroundings while releasing \( 300 \mathrm{~J} \) of heat energy. What is the change in the internal energy of the system?
(a) \( -500 \)
(b) \( -100 \)
(c) \( -300 \)
(d) \( -200 \)
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