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Figure below shows two paths that may be taken by a gas to go from a state A to a state C.

In process AB, 400 J of heat is added to the system and in process BC, 100J of heat is added to the system. The heat absorbed by the system in the process AC will be $115 x J . Then x is______$

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answer is 4.

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Detailed Solution

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$\begin{array}{l} Q_{c y c l e} = W_{c y c l e} = 400 + 100 + Q_{C \to A} \\ = \frac{1}{2} (2 \times 10^{- 3}) (4 \times 10^{4}) \\ \Rightarrow Q_{C \to A} = - 460 J \\ \Rightarrow Q_{A \to C} = + 460 J \\ S o, x w i l l b e 4 \end{array}$

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