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The given figure shows a change of state \( A \) to state \( C \) by two paths \( A B C \) and \( A C \) for an ideal gas. Calculate the :
Internal energy at \( C \) if the internal energy of gas at \( A \) is \( 10 \mathrm{~J} \) and amount of heat supplied to change its state to \( C \) through the path \( A C \) is \( 200 \mathrm{~J} \).
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