• # question_answer 66) An ice cube at $0.00{}^\circ C$ is placed in 200 g of distilled water at$25{}^\circ C$. The final temperature after the ice completely melted is$5{}^\circ C$. What is the mass of the ice cube? $(\Delta {{H}_{fus}},=340\,{{g}^{-1}},\,\,{{C}_{p}}=4.18\,J\,\,{{g}^{-1}}\,{}^\circ \,{{C}^{-1}})$ A) 23.6gB)               36.3 gC) 50.0 g              D) 800g

$q\text{ }=\text{ }ms\text{ }\Delta T$ $=\text{ }200\,\,\times \,\,4.18\,\,\times \,\,20=16720\text{ }Joule$ $\because \,\,\,340\text{ }J\text{ }heat\text{ }taken\text{ }by\,\,=\,\,1\text{ }g\text{ }Ice$ $\therefore$ 16720 J heat taken by $=\frac{16720}{340}\,\,=\,\,49.17\,\,g$ $=\text{ }50\,g$