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\( 10 \mathrm{gm} \) of ice at \( 0^{\circ} C \) is mixed with ' \( m \) ' gm of water at
\( \mathrm{P} \) \( 50^{\circ} \mathrm{C} \). What is minimum value of \( \mathrm{m} \) so that ice melts

W completely. ( \( L_{f}=80 \mathrm{cal} / \mathrm{gm} \) and \( S_{W}=1 \mathrm{cal} / \mathrm{gm}{ }^{\circ} \mathrm{C} \) )
(1) \( 32 \mathrm{gm} \)
(2) \( 20 \mathrm{gm} \)
(3) \( 40 \mathrm{gm} \)
(4) \( 16 \mathrm{gm} \)
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