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A system is taken from state \( a \) to state \( c \) by two paths adc and \( a b c \) as shown in the figure. The internal energy at \( a \) is \( U_{a}=10 \mathrm{~J} \). Along the path \( a d c \) the amount of heat absorbed
\( \mathrm{P} \)
\( \delta Q_{1}=50 \mathrm{~J} \) and the work obtained \( \delta W_{1}=20 \mathrm{~J} \) whereas
W along the path \( a b c \) the heat absorbed \( \delta Q_{2}=36 J \). The amount of work along the path \( a b c \) is
[NEET (Karnataka) 2013]
(a) \( 10 \mathrm{~J} \)
(b) \( 12 \mathrm{~J} \)
(c) \( 36 \mathrm{~J} \)
(d) \( 6 \mathrm{~J} \)
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