Question

Four hundred pieces of small ice (m = 3 g) are poured into a Thermos of water in preparation for a soccer practice. There are 3 gallons of water. The water is at 70 ˚F to start. The system has enough time to reach thermal equilibrium before being brought out to practice. Will the water taste refreshing to the players? The water temperature must be 60 ˚F or below to be perceived as "refreshing."

Answer 1

Water will taste refreshing to the players.

Heat capacity of water= 42*10 35/K9C Latent heat of fusion of icl = 3.35 x 155/kg Water Mw = 3*3-785 = 1.355 kg Ice Me = 400*3g = 1.2kg = 70°F = 210110 Taking Nates 0°C as reference Heat available with water = 11:35*4- 2* 10 x 121-11-0) = 1.087* 10 8 Joules Heat required to convert ice at 0°C to water at 0°C . H e 1-2 * 3.35*1035 = 4.22 * 105 Joules. = 0.402*106 Joules. Heat left after converting ice at 0°C to waler at ol°C . HE H - H = (1.007-0.402)*100 Joules = 0.605 * 10 8 Joules 2 6.05 * 105 Joules. Now we have water at 0°C of * Mass, M = 11+355 +12 2 = 12.55s na Now temperature raised by Heat left of the water available H= MCAT = ATE H = 6.05* 05 . MC 12.555 estre 4.2*10 (T-0) If a = 110473°C Final Temperaturl= 52.646 °F Water will be fresh