You're out on a warm lovely day (71.6 F), having a picnic with friends, and you've brought along a plastic cooler full of ice. Your friends are going to meet you with pop and water and stuff, but for now it's just ice at 0 C. The cooler walls are 2 cm thick, made of plastic with a thermal conductivity of k= 0.3 W/m-K. (a) If heat is flowing into the cooler at a rate of 594 J/s, what is the combined surface area of the cooler? (b) How much ice (by weight) is melted in 10 minutes due to this heat flow? (c) One of your friends meets you and has brought lemonade. They brought along a pitcher of lemonade, which has gotten warm during their trip. The pitcher has lemonade originally at 28 C. When you add 0.24 kg of ice to the pitcher, you cool the pitcher down to 10 C. How much lemonade (by weight) was in the pitcher before you added the ice? [You can assume that the heat capacity of lemonade is the same as liquid water.] (d) How much heat is transferred from the lemonade to the ice?