Question

A well-insulated, 64 fluid-ounce container is used for drinking water. Unfortunately, the water from the drinking fountain is about 75°F, a little too warm for average taste. To solve this problem, ice is added before filling it completely with water (volume of water and ice equals 64 fluid ounces). Calculate the precise amount of ice needed to cool the water to the coolest temperature that still provides optimal hydration (50°F) by the time all the ice melts and the temperature equilibrates.

Part A) If we wait to drink any water until all the ice melts, will the final volume of water in the jug be less than, equal to, or greater than 64 fluid ounces?

Part B) How much ice (in grams) must be added to cool the water to the specified 50°C?

Part C) In order to solve this problem, you needed to assume that the jug was perfectly insulated, such that there is no heat transfer between the system and surroundings. Given that this is probably not true, and assuming the average room temp is kept at 74°F, should the actual amount of ice he adds be more or less than the amount that he calculated?

Answer 1

Answer The ounce is a unit it mass, weight of volume used in most british derived customary gystems of measurement Lounce - 137.5 grains / 26.349 grams. 1. @ . Even the water is higher than the ice the sun of there volumes would remain the same after the mealting of ice. It happens because of the objects which are Hooling will displace the amount of water as its weight ice needed to tool water to the 50°C=? water poured = ming (!! As per assumption), Ice used . = m np .. then, we have the calculation using (byt ma 1 : +64 # ownies mico (AT) = . meh + m Lp (at)ires utten

mi (41180),(23.9839-10) = m2(334+ m (Gul86) (10-0 Malhere, . theast 1096 by water this equal to the heat gained by the ice, mia m2 (375188/581139 try tha) = 648 ounces → Tocq 271 me [!189871 d). Bf 1992, 111gm li m+ m2). m2 (345.960) + m = 1992.,71 mm. (1461465)= 1892171 253.54 qon of ice. As needed. c) to bring the combination of water and ice do 30 F while the atmosphere was at the F. we need mose cooling because the lower water is not getting the help from the atmosphere.