question_answer

A system is taken from state A to state B along two different paths 1 and 2. The work done on the system along these two paths are \[{{W}_{1}}\] and \[{{W}_{2}}\], respectively. The heat absorbed by the system along these two paths are \[{{Q}_{1}}\] and \[{{Q}_{2}}\], respectively. The internal energies at A and B are \[{{U}_{A}}\] and \[{{U}_{B}}\] respectively. Then,

A)  \[{{W}_{1}}={{W}_{2}}={{U}_{B}}-{{U}_{A}}\]

B)  \[{{Q}_{1}}-{{Q}_{2}}={{U}_{A}}-{{U}_{B}}\]

C)  \[{{Q}_{1}}+{{W}_{1}}={{Q}_{2}}+{{W}_{2}}={{U}_{A}}+{{U}_{B}}\]

D)  \[{{Q}_{1}}+(-{{W}_{1}})={{Q}_{2}}+(-{{W}_{2}})={{U}_{B}}-{{U}_{A}}\]