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1st Law of Thermodynamics

A system is t...

Question

A system is taken from state A to state B along 2 different paths 1 and 2 . The heat absorbed and work done by the system along these 2 paths are $Q_{1}$ , $Q_{2}$ and $W_{1}$ , $W_{2}$

A

Q_{1}

-

W_{1}

=

Q_{2}

-

W_{2}

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B

Q_{1}

+

W_{1}

=

Q_{2}

+

W_{2}

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C

Q_{1}

=

Q_{2}

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D

W_{1}

=

W_{2}

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Solution

The correct option is A $Q_{1}$ - $W_{1}$ = $Q_{2}$ - $W_{2}$
A system is taken from state A to state B along 2 different paths 1 and 2 . The heat absorbed and work done by the system along these 2 paths are $Q_{1}, Q_{2}$ and $W_{1}, W_{2}$
By first law of thermodynamics
$Q_{1} + (- W_{1}) = Q_{2} + (- W_{2})$
Hence $Q_{1} - W_{1} = Q_{2} - W_{2}$ is correct.

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