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(B) According to the first law of thermodynamics,the change in internal energy $\Delta U$ is given by $\Delta U = Q - W$.Since internal energy is a st

Vedclass · Accepted Answer

$Q_1 - W_1 = Q_2 - W_2$

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(B) According to the first law of thermodynamics,the change in internal energy $\Delta U$ is given by $\Delta U = Q - W$.Since internal energy is a state function,it depends only on the initial and final states of the system.For both paths $1$ and $2$,the system moves from state $A$ to state $B$,so the change in internal energy is the same for both paths: $\Delta U_1 = \Delta U_2$.Therefore,$Q_1 - W_1 = Q_2 - W_2$.

$A$ gas is taken from state $A$ to state $B$ along two different paths $1$ and $2$. The heat absorbed and work done by the system along these two paths are $Q_1, Q_2$ and $W_1, W_2$ respectively. Then:

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