$(a)\;560\;J\qquad(b)\;800\;J\qquad(c)\;600\;J\qquad(d)\;640\;J$

Thermodynamics

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Answer : $\;560\;J$

Explanation :

For process AB , W=0 , $\; \bigtriangleup Q =\bigtriangleup u $

Therefore , $\;\bigtriangleup u = 600\;J$

For process BC , $\;\bigtriangleup Q = 200\;J \;,W=P\bigtriangleup V = 8 \times 10^{4} \;[5 \times 10^{-3} - 2 \times 10^{-3}]$

$\bigtriangleup W = 240 J$

$\bigtriangleup Q = \bigtriangleup u + \bigtriangleup W$

$200 = \bigtriangleup u + 240$

$\bigtriangleup u = -40\;J$

Therefore , $\;\bigtriangleup u $\; along AC $\;[\bigtriangleup u \;is\;path\;independent]$

$=600-40$

$ = 560 J$

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