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A system is taken from state a to state \( c \) by two paths adc and \( a b c \) asshown in thefigure. Theinternalenergyat \( a \) is
\( \mathrm{P} \) \( U_{a}=10 \mathrm{~J} \). Along the path adc the amount of heat

W) absorbed \( d Q_{1}=50 \mathrm{~J} \) and the work obtained \( d W_{1}= \) \( 20 \mathrm{~J} \) whereas along the path \( a b c \) the heat absorbed \( d Q_{2}=36 \mathrm{~J} \). The amount of work along the path \( a b c \) is
(a) \( 10 \mathrm{~J} \)
(b) \( 12 \mathrm{~J} \)
(c) \( 36 \mathrm{~J} \) (d) \( 6 \mathrm{~J} \)
(Karnataka NEET 2013)
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