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\( 9.0 \mathrm{~g} \) ice at \( 0 \mathrm{C} \) is mixed with \( 36 \mathrm{~g} \) of water at \( 50 \mathrm{C} \) in a thermally insulated container. Using the following data, answer the question that follow ?
\[
\mathrm{C}_{\mathrm{p}}\left(\mathrm{H}_{2} \mathrm{O}\right)=4.18 \mathrm{Jg}^{-1} \mathrm{~K}^{-1} ; \Delta \mathrm{H}_{\text {fusion }} \text { (ice) }=335 \mathrm{~J} \mathrm{~g}^{-1}
\]
(i) final temperature of water is
(A) \( 304.43 \mathrm{~K} \)
(B) \( 296.97 \mathrm{~K} \)
(C) \( 303.93 \mathrm{~K} \)
(D) \( 287 \mathrm{~K} \)
(ii) \( \Delta \mathrm{S}_{\text {ice }} \) is
(A) \( 11.04 \mathrm{JK}^{-1} \)
(B) \( 3.16 \mathrm{JK}^{-1} \)
(C) \( 14.2 \mathrm{JK}^{-1} \)
(D) \( 7.84 \mathrm{JK}^{-1} \)
(iii) \( \Delta \mathrm{S}_{\text {water }} \) is
(A) \( -12.64 \mathrm{JK}^{-1} \)
(B) \( -0.34 \mathrm{JK}^{-1} \)
(C) \( -5.42 \mathrm{JK}^{-1} \)
(D) \( 12.64 \mathrm{JK}^{-1} \)
(iv) What is the total entropy change in the process ?
(A) \( -1.56 \mathrm{JK}^{-1} \)
(B) \( -1.60 \mathrm{JK}^{-1} \)
(C) \( 1.56 \mathrm{JK}^{-1} \)
(D) \( 1.60 \mathrm{JK}^{-1} \)
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