Question

A 291 g silver figure of a polar bear is dropped into the 247 g aluminum cup of a well-insulated calorimeter containing 275 g of liquid water at 24.3°C. The bear's initial temperature is 99.3 °C. What is the final temperature of the water, cup, and bear when they reach thermal equilibrium? The specific heats of silver, aluminum, and liquid water are, respectively, 234 J/(kg-K), 910 J/(kg-K), and 4190 J/(kg-K). final temperature: °C

Answer 1

mass of bear (silver figure) = m = 2918= 0.291 kg mass of aluminium cup = m₂ = 2479= 0.247 kg mass of water = my= 2759=275kg Initial temperature of bear - Tic 99.3°c Initial temperature of water & aluminium cup = Tz = Ty= 24.3°c specific heat capacity of silver (= 234 5/legk specific heat capacity of water -=4190 specific heat capacity cup (q= 910Jeg k final temperature - T of aluminium amount of heat released a amount of heat gained micilti-T) = malz (T-Tz) + M₂ C3 (T-T3) amicit, -m, cta M₂ C₂ T-M2 / 2 Tz + Mg (3T - M363 T3 amicit, + m₂ cz Tz tm3 C3 I3 = Mast tim, cał + mat mic, T, tharz Tz tmz C3 T3= T(mara + m₂ (3 fm, a.) Te micit, tmala Tzt m3 C3 T3 M2 (2 + Ma Czt mic T- |(0.29121234) (99,3 +0.247 (910)(2415)+ 6-279 (4190)(2463) с (0-247)(910) +0.275 14190) + (0-2912 (234) 27.83°c Scanned with CamScanner