A 321-g alumuniym cup which containes an 546g piece of ice, is removed from the -32 C freezer. Calculate the amount of energy required to watm the cup and the water to 20C. How much time does it take for an electric hotplate with a power ot 1.1 kW to warm the vup and the water to 20C? Latent heats of fusion is 3,97 x 10^5 (Al) and 3.33x 10^5 (water) J/kg. Latent heats of vaportation. 1.14 x 10^7 (Al) and 2.26 x 10^6 (water) J//kg. spesific heats: 900 (Al) and 4186 (water) and 2090 ice (J/kg x C). Assume no heat is lost, all is used for heating. (In the power calculation, work and heat can be treated the same way as both are forms of energy.)