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An insulated container contains 1 mole of a liquid molar volume 100 ml at 1 bar. When liquid is steeply passed to 100 bar, volume decreases to 99 ml. Find DH for the process in (bar.ml)

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9600 bar.ml

9800 bar.ml

9900 bar.ml

9500 bar.ml

answer is C.

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Detailed Solution

The system is subjected to irreversible adiabatic compression.

From 1st law of thermodynamics

$\begin{array}{l} Δ U = Q + W = 0 - (P_{ext} (V_{f} - V_{i})) = - 100 (99 - 100) bar.ml \\ Δ H = Δ U + P_{2} V_{2} - P_{1} V_{1} = 100 + (9900 - 100) = 9900 bar. m l \end{array}$

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